Mirna Džamonja, logician

[1] Mirna Džamonja, Théorie des ensembles pour les philosophes, Editions Univ.Europ. 2017, 180 pp available at

[2] Mirna Džamonja, Fast Track to Forcing, Cambridge University Press, London Mathematical Society Student Texts and Lecture Notes Series vol. 98 (2020). available at

Some comments and corrections (see the pdf files directly by going to the page at the bottom of the screen): (1) Definition of the intersection (2) Proof of 15.6.1

(see below for mathematical preprints, philosophical articles , historical articles , surveys , notes , book reviews , and other articles (this list does not include articles in preparation. My Ph.D. students publish their thesis work in articles with their name only).

[62] Francesco Parente and Mirna Džamonja, Properties preserved by classes of Chu transforms , submitted , arxiv preprint.

[61] Adam Bartoš, Mirna Džamonja (withdrew as author after submission) and Wiesłav Kubiś, Uncountable homogeneous structures, submitted , arxiv preprint.

[60] Mirna Džamonja (withdrew as author after conditional acceptance) and Isa Vialard, On maximal order type of the lexicographic product, submitted , arxiv preprint. Proofs in this paper are wrong and hence the theorem claimed by Vialard remains without proof.

[59] Uri Abraham, Robert Bonnet, Mirna Džamonja (withdrew as author after acceptance) and Maurice Pouzet, On the ABK Conjecture, alpha-well Quasi Orders and Dress-Schiffels product, to appear in Topology and Its Applications, arxiv preprint.

[58] Dana Bartošová, Mirna Džamonja, Rehana Patel and Lynn Scow, Big Ramsey degrees in ultraproducts of finite structures, Annals of Pure and Applied Logic ,vol.351 (2024), pg. 1-28 arxiv preprint .

[57] David Buhagiar and Mirna Džamonja, On middle box products and paracompact cardinals, Annals of Pure and Applied Logic , vol. 175 (2024)(25 pages), arXiv version .

[56] Mirna Džamonja, Angeliki Koutsoukou-Argyraki and Lawrence C. Paulson FRS, Formalising Ordinal Partition Relations Using Isabelle/HOL, Experimental Mathematics (2021), AHEAD-OF-PRINT, 1-18 https://doi.org/10.1080/10586458.2021.1980464 arXiv version .

[55] Mirna Džamonja and Saharon Shelah, On wide Aronszajn trees in the presence of MA, the Journal of Symbolic Logic, vol. 86 (2021), no. 1, pg. 210-223, arxiv 2002.02396 in math.LO

[54] David Buhagiar and Mirna Džamonja, Square Compactness and the filter extension property, Fundamenta Mathematicae vol. 252 (2021) 325-342, DOI: 10.4064/fm787-4-2020.

[53] Mirna Džamonja and Jouko Väänänen, Chain Logic and Shelah's Infinitary Logic, to appear in the Israel Journal of Mathematics arxiv 1908.01177 in math.LO

[52] Mirna Džamonja and Jouko Väänänen, Some strong logics within combinatorial set theory and the logic of chains, Sarajevo Journal of Mathematics, vol. 14 (27), No. 2 pg. 133-141 (2018), DOI: 10.5644/SJM.14.2.02..

[51] Mirna Džamonja and Ivan Tomašić, Graphons arising from graphs definable over finite fields, Colloquium Mathematicum, vol. 169 No. 2 pg. 269-306 (2022) arxiv 1707.06296 in math.LO

[50] Mirna Džamonja, Sylvain Schmitz and Philippe Schnoebelen, On ordinal invariants in well quasi orders and finite antichain orders, a book chapter in `` Well-Quasi Orders in Logic and Related Areas", M. Seisenberger, P. Schuster and A. Weiermann (eds.), Springer Trends in Logic (2020) pg.29-54 preprint version
ERRATUM:We incorrectly claimed in Lemma 4.4(1) the formula o(P.Q)=o(P).o(Q) for wpos P and Q and incorrectly attributed it to Abraham and Bonnet. Harry Altman (March 2024) found that this formula is not correct. By considering P=omega+1, Q_0 a 2-element antichain and Q_1 a 2-element chain, we can see that o(P. Q_0) is different from o(P.Q_1) while o(Q_0)=o(Q_1). Hence no formula depending only on o(P) and o(Q) can be found for o(P\cdot Q). We in addition incorrectly claimed in 4.4(2) that the formula for h(P.Q) was due to Abraham and Bonnet.

[49] Mirna Džamonja, Universal infinite clique-omitting graphs, Sarajevo Journal of Mathematics a Vol.12 (25) No. 2, (2016) pg. 151-154, DOI: 10.5644/SJM.12.2.02 pdf file .

[48] Mirna Džamonja, Paragraded structures inspired by mathematical logic, Sarajevo Journal of Mathematics vol. 12 (25), No.2, (2016), 1-9, Suppl., pdf file .

[47] Mirna Džamonja, Some Banach spaces added by a Cohen real, Topology and Its Applications, vol. 195 (2015), pg. 246-255 pdf file .

[46] James Cummings, Mirna Džamonja and Charles Morgan, Small universal families of graphs on $\aleph_{\omega+1}$, Journal of Symbolic Logic vol. 81, num. 2, (2016), pp 541 - 569 online: 29 June 2016., DOI: 10.1017/jsl.2015.65, pdf file .

[45] James Cummings, Mirna Džamonja, Menachem Magidor, Charles Morgan and Saharon Shelah, A framework for forcing constructions at successors of singular cardinals, Transactions of the American Mathematical Society , vol. 369, no.10, October 2017, pg. 7405-7441, online May 31, 2017. pdf file

[44] Mirna Džamonja, Isomorphic universality and the number of pairwise non-isomorphic models in the class of Banach spaces, Abstract and Applied Analysis, vol. 2014, Article ID 184071, 11 pages, 2014. doi:10.1155/2014/184071 pdf file .

[43] Piotr Borodulin-Nadzieja and Mirna Džamonja, On the isomorphism problem for measures on Boolean algebras, Journal of Mathematical Analysis and Applications vol. 405 (2013) pg. 37-51, published online 26 March 2013, http://www.sciencedirect.com/science/article/pii/S0022247X13002576. pdf file .

[42] Gregor Dolinar and Mirna Džamonja, Forcing Square_{omega_1} with finite conditions, Annals of Pure and Applied Logic , online publication complete 11-SEP-2012, vol. 164 (2013), pg. 49-64, DOI information 10.1016/j.apal.2012.09.002, pdf file .

[41] Uri Abraham, Robert Bonnet, James Cummings, Mirna Džamonja and Katherine Thompson, A scattering of orders, Transactions of the American Mathematical Society , (online publication complete 02-JUL-2012) vol. 364 (2102), pg. 6259-6278. DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05466-3 pdf file .

[40] Mirna Džamonja, Ramsey Methods and the problem DU, in Young Set Theory Workshop 2009, CRM Publications vol. 7, (2011), 1-12, ISSN 2014-2323 (printed version) ISSN 2014-2331 (electronic version). , pdf file .

[39] Mirna Džamonja and István Juhász, CH, a problem of Rolewicz and bidiscrete systems, Topology and its Applications, vol. 165, No. 18 (2011), 2485-2494, Online publication complete: 26-AUG-2011 DOI information: 10.1016/j.topol.2011.08.005, pdf file .

[38] Mirna Džamonja and Jouko Väänänen, Chain models, trees of singular cardinality and dynamic EF games, Journal of Mathematical Logic , pdf file vol. 11, No. 1 (2011), 61-85, DOI 10.1142/S0219061311001006.

[37] Mirna Džamonja, Jean Larson and Bill Mitchell, Partitions of large Rado graphs, Archive for Math. Logic , pdf file vol. 48, issue 6, (2009), 579-606.

[36] Mirna Džamonja, Jean Larson and Bill Mitchell, A partition theorem for a large dense linear order Israel Journal of Mathematics , DOI: 10.1007/s11856-009-0049-2 arXiv full text . vol. 171 (2009), pg. 237-284.

[35] Taras Banakh, Mirna Džamonja and Lorenz Halbeisen, Non-separable Banach spaces with non-meager Hamel basis, Studia Mathematica ps file vol. 189 (2008), pg. 27-34.

[34] Mirna Džamonja, Representation theorems for connected compact Hausdorff spaces, Sarajevo Journal of Mathematics pdf file, vol. 4 (16) (2008), pg. 7-21. A comment .

[33] Mirna Džamonja and Grzegorz Plebanek, Strictly Positive Measures on Boolean Algebras, Journal of Symbolic Logic , vol. 73, no. 4 (2008), pg. 1416-1432. journal pdf file.

[32] Mirna Džamonja, Sy-David Friedman and Katherine Thompson, Global Complexity Results, in Quaderni di Matematica: Set Theory and Applications, ed. by A. Andretta pdf file, vol. 17 (2007), pg. 25-47.

[31] Mirna Džamonja and Grzegorz Plebanek, On Efimov spaces and Radon measures, Topology and its Applications , pdf file, vol. 154, (2007), pg. 2063-2072, DOI .

[30] Mirna Džamonja and Saharon Shelah, On properties of theories which preclude the existence of universal models, Annals of Pure and Applied Logic, vol. 139, (1-3), (2006), pg. 280-302, pdf file.

[29] Mirna Džamonja and Joel D. Hamkins, Diamond(Reg) can fail at strongly unfoldable cardinals, Annals of Pure and Applied Logic , vol. 144, issues 1-3 (2006), pg. 83-95, arXiv full text .

[28] Mirna Džamonja, Universality of uniform Eberlein compacta, Proceedings of the American Mathematical Society , vol. 134 no. 8, (2006) pg. 2427-2435, journal abstract , pdf file .

[27] Mirna Džamonja and Katherine Thompson, A Poset Hierarchy, Central European Journal of Mathematics , vol. 4, no. 2, (2006), pg. 225-241 journal abstract , arXiv full text .

[26] Mirna Džamonja and Katherine Thompson, Universality results for well-founded posets, Sarajevo Journal of Mathematics , vol. 1. no. 2 (2005), pg. 147-160 journal pdf.

[25] Tomek Bartoszynski, Mirna Džamonja, Lorenz Halbeisen, a Murtinova and Anatolij Plichko, On Bases in Banach spaces, Studia Mathematica , vol. 170 (2005), pg. 147-171, journal abstract , ps file. (see also a bibliographic remark in pdf file).

[24] Mirna Džamonja and Saharon Shelah, On the existence of universal models, Archive for Mathematical Logic , vol. 43, no.7 (2004), pg. 901-936,
journal abstract , arXiv full text .

[23] Mirna Džamonja and Saharon Shelah, On $\triangleleft$^∗ -maximality, Annals of Pure and Applied Logic , vol. 125, (1-3), (2004), pg. 119-158, pdf file of a version revised in March 2011.

[22] Justin Tatch Moore, Michael Hrusak and Mirna Džamonja, Parametrized ◊ principles, Transactions of the American Mathematical Society , vol. 356 (2004) no.6 , pg. 2281-2306, journal abstract , arXiv full text .

[21] Mirna Džamonja, Peter Komjáth and Charles Morgan, Wild Edge Colourings of Graphs, Journal of Symbolic Logic , vol. 69, no. 1, (2004), pg. 255-264, pdf file .

[20] Mirna Džamonja and Grzegorz Plebanek, Precalibre pairs of measure algebras, Topology and its Applications vol. 144, no. 1-3, (2004), pg. 67-94, pdf file.

[19] Mirna Džamonja and Jouko Väänänen, A family of trees with no uncountable branches, Topology Proceedings , vol. 28, no. 1, (2004), pg. 113-132, journal abstract , pdf file .

[18] Mirna Džamonja and Saharon Shelah, Universal graphs at the successor of a singular cardinal, Journal of Symbolic Logic , vol. 68, no 2 (June 2003), pg. 366-387, pdf file.

[17] Mirna Džamonja and Saharon Shelah, Weak reflection at the successor of a singular cardinal, Journal of LMS (2) 67, (2003), no.1, pg. 1-15, pdf file.

[16] Mirna Džamonja and Grzegorz Plebanek, Generalisations of epsilon-density, Acta Universitatis Carolinae Mathematica et Physica, vol. 44 no. 2, (2003), pg. 57-64, pdf file.

[15] Mirna Džamonja, On $D$-spaces and Discrete Families of Sets, in AMS, DIMACS: Series in Discrete Mathematics and Theoretical Computer Sciences, ed. by S. Thomas 58 (2002), pg. 45-63, book announcement , arXiv full text .

[14] Mirna Džamonja, On club-like Principles on regular cardinals above ${\rm beth}$_ω Acta Universitatis Carolinae Mathematica et Physica , vol. 42 no. 2, (2001), pg. 27-32, arXiv full text .

[13] Arthur Apter and Mirna Džamonja, Some remarks on a question of D.H. Fremlin regarding ε-density, Archive for Mathematical Logic , vol. 40 (7), (2001), pg. 531-540, ps file.

[12] Mirna Džamonja, On ℘_κ λ combinatorics using a third cardinal, Radovi Matematički, vol. 9, no. 2 (2000), pg. 141-155, pdf file.

[11] Mirna Džamonja and Saharon Shelah, On versions of $\clubsuit$ on cardinals larger than ℵ₁, Mathematica Japonica, vol. 51 no.1 (2000), pg. 53-61, pdf file.

[10] Mirna Džamonja and Saharon Shelah, Similar but not the same: various versions of the club principle do not coincide, Journal of Symbolic Logic , vol. 64 (1), (03/1999), pg. 180-198, pdf file .

[9] Mirna Džamonja and Saharon Shelah, The club principle does not imply the existence of a Suslin tree, Israel Journal of Mathematics , 113 (1999), 1 63-204; erratum 119 (2000), pg. 379.

[8] Mirna Džamonja, A Note on the Splitting Property in Strongly Dense Posets of Size ℵ₀, Radovi Matematički , vol. 8, no. 1 (1998), pg. 321-326, pdf file.

[7] Mirna Džamonja, On universal Eberlein compacta and c-algebras, Topology Proceedings , vol. 23, (1998) pg. 143-150 journal abstract , pdf file.

[6] Mirna Džamonja and Saharon Shelah, Saturated filters at successors of singulars, weak reflection and yet another weak club principle, Annals of Pure and Applied Logic 79 (1996), pg. 289-316, journal abstract , arXiv full text .

[5] Mirna Džamonja and Saharon Shelah, On squares, outside guessing of clubs and I _{< f}[λ] Fundamenta Mathematicae 148 (1995), pp. 165-198,
journal announcement , arXiv full text .

[4] James Cummings, Mirna Džamonja and Saharon Shelah, A consistency result on weak reflection, Fundamenta Mathematicae , 148-1 (1995), pg. 91-100,
journal announcement , arXiv full text .

[3] Mirna Džamonja and Kenneth Kunen, Properties of the Class of Measure Separable Spaces, Fundamenta Mathematicae 147-3 (1995), pg. 261-277,
journal pdf .

[2] Mirna Džamonja and Kenneth Kunen, Measures on Compact HS Spaces, Fundamenta Mathematicae 143-1 (1993), pg. 41-54,
journal announcement , journal pdf .

[1] Mirna Džamonja, A Set Theoretic Approach to Some Problems in Measure Theory, Ph.D. Thesis, University of Wisconsin-Madison a pdf.Z file 1993.

[1] James Cummings, Mirna Džamonja and Itay Neeman, Iterating strongly k⁺-cc forcing posets, arxiv 13/11/2018 pdf file

[6] Mirna Džamonja, Multiverse and the Society, in the collection Sriraman, Bharath (ed.): Handbook of History and Philosophy of Mathematical Practice, Springer Verlag (2024), pg 2365-2382. version on HAL

[5] Mirna Džamonja and Deborah Kant, Philosophical with a set theorist, contribution to the book Centrone, Stefania; Kant, Deborah; Sarikaya, Deniz (eds.): Reflections on the Foundations of Mathematics - Univalent Foundations, Set Theory and General Thoughts (2019) pg. 3-26. Synthese Library, Springer International Publishing. pdf file

[4] Mirna Džamonja, A new foundational crisis in mathematics:is it really happening?, contribution to the book Centrone, Stefania; Kant, Deborah; Sarikaya, Deniz (eds.): Reflections on the Foundations of Mathematics - Univalent Foundations, Set Theory and General Thoughts (2019) pg.255-269. Synthese Library, Springer International Publishing arxiv file

[3] Mirna Džamonja and Marco Panza, Asymptotic quasi-completeness and ZFC, in "Contradictions, from Consistency to nconsistency" vol. 47 Trends in Logic (Springer) (eds. Carnielli and Malinowski)159-182 pdf file

[2] Mirna Džamonja, Set Theory and its Place in the Foundations of Mathematics-a new look at an old question, Journal of Indian Council of Philosophical Research Special Issue on Pluralism, M. Chakreborty and M. Friend (editors), vol. 34 (2017), pg. 415-424. pdf file .

[1] Mirna Džamonja, The singular world of singular cardinals, in Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics (ed. Åsa Hirvonen, Juha Kontinen, Roman Kossak and Andrés) Villaveces De Gruyter, Boston, (2015), 139-146. pdf file .

[1] Hourya Benis and Mirna Džamonja, Évolution des mathématiques au XXe siècle et après a chapter in Précis de Philo des Maths et de la Logique, A. Arana, M.Panza, F. Poggiolesi et P. Wagner(eds.) Publications de la Sorbonne (in preparation). pdf file.

[5] Mirna Džamonja, Are all natural numbers the same?, to appear. arXiv version .

[4] Mirna Džamonja, Forcing Axioms, Finite Conditions and Some More, in Proceedings of the Fifth Indian Conference on Logic and its Applications, January 10-12, 2013, Chennai, India, (ed. Kamal Lodaya) Springer-Verlag Lecture Notes in Computer Sciences (2013), 17-26. pdf file .

[3] Mirna Džamonja, Some positive results in the context of universal models, in Set Theory and Its Applications, eds. L. Babinkostova, A. Caicedo, S. Geschke, R. Ketchersid, and M. Scheepers) Contemporary Mathematics, vol. 533, (2011), 1-12. pdf file .

[2] Mirna Džamonja, Measure Recognition Problem, Philos. Trans. Royal Soc. A , vol. 364 (2006), pg. 3171-3182 pdf file.

[1] Mirna Džamonja, Club guessing and the universal models, Notre Dame Journal for Formal Logic , vol. 46, No. 3, (2005), pg. 283-300 journal abstract , arXiv full text .

[1] Gregor Dolinar and Mirna Džamonja, Introducing a nontrivial square_omega, preprint, but as noticed by Lajos Soukup, this version of square is too weak , pdf file .

[6] Mirna Džamonja, `Forcing idealized' by J. Zapletal, a review, Bulletin of Symbolic Logic, vol. 16, no. 2, 2010, pg. 278-279, pdf file .

[5] Mirna Džamonja and Grzegorz Plebanek, Four papers of Wieslaw Kubiś and co-authors on inverse systems and Valdivia compacta, Bulletin of Symbolic Logic, vol. 15, no. 2, 2009, pg. 227-228. pdf file .

[4] Mirna Džamonja, A review of ``The Stationary Tower Forcing (Notes on a course by W. Hugh Woodin)" by Paul B. Larson, Bulletin of LMS , vol. 38, no. 3, 2006, pg. 527-528 journal abstract , pdf file .

[3] Mirna Džamonja, A review of ``The Foundations of Mathematics in the Theory of Sets" by J.P. Mayberry, Bulletin of LMS , vol. 34, 2002, pg. 243-256. journal abstract , pdf file .

[2] Mirna Džamonja, A review of ``Classification and Orbit Equivalence Relations" by Greg Hjorth, Bulletin of LMS, vol. 33, 2001, pg. 248-249 journal abstract , pdf file .

[1] Mirna Džamonja, A review of ``Cardinal Arithmetic" by Saharon Shelah, Studia Logica, vol. 60 no. 3, April 1998, pg. 443-448 journal pdf .

[1] Mirna Džamonja and Ian Gibson, Place of Mathematics in the Parliament, Royal Society Newsletter, December 2007 pdf file .

[2] Mirna Džamonja, The European Set Theory Society, EMS Newsletter, June 2012 , pg. 45 pdf file .

[3] Georgia Benkart, Mirna Džamonja and J. Roitman (co-eds.), Memories of Mary Ellen Rudin, Notices of AMS June/July 2015 , pg. 617-629 open access file.

[4] Mirna Džamonja, Public Oration in honour of the UEA Honorary Doctorate to Esther Mujawayo, pdf file.

[5] Mirna Džamonja, Andras Hajnal, Life and Work, in Logic Around the World (eds. Massoud Pourmahdian and Ali Sadegh Daghigi), On the ocassion of the 5th Annual Conference of the Iranian Association for Logic, A.F.J Publishing, 2017, pg. 147-152 pdf file.

[6] Mirjana Vuković and Mirna Džamonja, Obituary for the Academician Fikret Vajzović, Sarajevo Journal of Mathematics, Vol.13 (25), No.2, (2017), pg. 133–140 journal article.

[7] Mirna Džamonja, A letter to Bohus, Commentationas Mathematicae Universitas Carolinae, vol. 60 (1) 2019, pg. 157-160. , preprint

[8] Mirna Džamonja, Grace Chisholm Young, the first woman set theorist, European Set Theory Society website, preprint

[9] Mirna Džamonja, A few words about a successful career, to Mirjana Vuković, Sarajevo Journal of Mathematics, vol. 14 (27), no.2, pg. 127-131, DOI: 10.5644/SJM. 14.2.01 journal article

[10] Mirna Džamonja, Report: Visit to Bosnia and Herzegovina, LMS Newsletter, July 2019, pg. 16-17. journal article

[11] Mirna Džamonja, Preface to Contes et petites histoires bantous racontés aux enfants du monde ed. Renaissance Africaine, Paris (2020) ISBN : 978-2-38100-007-7

[12] Mirna Džamonja, Poems `À l'écrivain et sa lutte and La règle de la vie , in the anthology Let mots face aux maux (Exauc'é Elvin Ngaba Nsilou et Ferr'éol Gassackys eds.) ed. Renessaince Africaine, CJM 'éditions (2020) ISBN : 978-2-38100-005-3

[13] Mirna Džamonja, Joan Hart, Andrea Medini and Andrés Villaveces (eds.), In Memory of Ken Kunen, Notices of AMS, vol. 69 No. 10, November 2022, pg. 1758-1769 journal article

[14] Mirna Džamonja and Duško Pavlović A Continuation of a Successful Carrer, to Mirjana Vuković, submitted but not appeared in Sarajevo Journal of Mathematics.

[15] Mirna Džamonja, [15] Mirna D\v zamonja, A Starting Point for the Mathematics and Informatics Channel for the Association 5MFBiH, 5MFBiH Platform, members area .

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This publications list does not include publications in preparation or review articles of papers as written for Mathematical Reviews.

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