Fachbereich Mathematik 
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Publications


 

Theses:

  1. Homogene kompakte Räume, Master's thesis, FU Berlin (1995)

  2. On sigma-filtered Boolean algebras, PhD thesis, FU Berlin (2000)

  3. Convex geometry, continuous Ramsey theory, and ideals generated by graphs of functions, a survey of the articles reviewed for my Habilitation, FU Berlin (2005)

 

Refereed articles (original research):

  1. On the weak Freese-Nation property of P(omega), coauthors: Sakae Fuchino and Lajos Soukup, Archive for Mathematical Logic 40 (2001), no. 6, 425-435

  2. On the weak Freese-Nation property of complete Boolean algebras, coauthors: Sakae Fuchino, Saharon Shelah, and Lajos Soukup, Annals of Pure and Applied Logic 110 (2001), no. 1-3, 80-105

  3. On tightly kappa-filtered Boolean algebras, Algebra Universalis 47 (2002), 69-93

  4. Convex decompositions in the plane and continuous pair colorings of the irrationals, coauthors: Menachem Kojman, Wieslaw Kubis, and Rene Schipperus, Israel J. Math. 131 (2002), 285-317

  5. Convexity numbers of closed subsets in R^n, coauthor: Menachem Kojman, Proc. Am. Math. Soc. 130, No. 10 (2002), 2871-2881

  6. Some notes concerning the homogeneity of Boolean algebras and Boolean spaces, coauthor: Saharon Shelah, Topology and its Applications 133 (2003), 241-253

  7. Covering R^{n+1} by graphs of n-ary functions and long linear orderings of Turing degrees, coauthor: Uri Abraham, Proc. Am. Math. Soc. 132, No. 11 (2004), 3367-3377

  8. Some combinatorial principles defined in terms of elementary submodels (formerly "Remarks on a paper of Juhasz and Kunen"), coauthor: Sakae Fuchino, Fund. Math. 181 (2004), 233-255

  9. A note on minimal dynamical systems, Acta Univ. Carol., Math. Phys. 45, No.2 (2004), 35-43

  10. Continuous Ramsey theory on Polish spaces and covering the plane by functions, coauthors: Martin Goldstern, Menachem Kojman, Journal of Mathematical Logic, Vol. 4, No. 2 (2004), 109-145

  11. More convexity numbers of closed sets in R^n, Proc. Am. Math. Soc. 133 (2005), 1307-1315

  12. A dual open coloring axiom, Annals of Pure and Applied Logic 140 (2006), 40-51

  13. The coinitiality of a compact space, Topology Proceedings 30 No. 1 (2006), 237-250

  14. Injective and projective T-Boolean algebras, coauthors: Richard N. Ball and James N. Hagler, Journal of Pure and Applied Algebra, Volume 209, Issue 1 (2007), 1-36

  15. Metric Baumgartner theorems and universality, coauthor: Menachem Kojman, Math. Res. Lett. 14 (2007), no. 2, 215-226. A false statement about universal separable linear orders is corrected in my note Separable linear orders and universality

  16. Functions for which all points are a local minimum or maximum, coauthors: Ehrhard Behrends, Tomasz Natkaniec, Real Analysis Exchange, Vol. 33(2) (2007/2008), 1-4

  17. Potential continuity of colorings, Archive for Mathematical Logic 47 (2008), No. 6, 567-578

  18. The number of openly generated Boolean algebras, coauthor: Saharon Shelah, Journal of Symbolic Logic 73 (2008), 151-164

  19. Low distortion embeddings of infinite metric spaces, Ann. Pure Appl. Logic 157 (2009), no. 2-3, 148-160

  20. An upper bound for the cellularity of the phase space of a minimal dynamical system, Topology Proc. 36 (2010), 393-398. This is an updated version in which a gap that was found by David Milovich has been filled.

  21. The coinitialities of Efimov spaces, Set Theory and its Applications, Babinkostova et al., Editors, Contemporary Mathematics 533 (2011), 259-265

  22. Weak Borel chromatic numbers, Mathematical Logic Quarterly, Volume 57, Issue 1 (2011), 5-13

  23. Symmetrized induced Ramsey theorems, coauthor: Menachem Kojman, Graphs and Combinatorics, Volume 27, Issue 6 (2011), 851-864

  24. Basis theorems for continuous n-colorings, coauthor: Stefanie Frick, Journal of Combinatorial Theory, Series A, Volume 118, Issue 4 (2011), 1334-1349

  25. How to drive our families mad, coauthors: Sakae Fuchino, Osvaldo Guzman, Lajos Soukup, to appear

  26. Clopen graphs, Fundamenta Mathematicae 220, No. 2 (2013), 155-189

  27. 2-dimensional convexity numbers and P_4-free graphs, Canadian Mathematical Bulletin 57(2014), 61-71

  28. Self-dual uniform matroids on infinite sets, coauthor: Nathan Bowler, Proc. Am. Math. Soc. 144, No. 2 (2016), 459-471

  29. Minimal obstructions for normal spanning trees , coauthors: Nathan Bowler, Max Pitz, Fund. Math. 241 (2018), 245-263

  30. The nonexistence of universal metric flows, Comment. Math. Univ. Carolinae, vol. 59, no. 4 (2018), pp. 487-493

  31. Partitioning subgraphs of pro finite ordered graphs, coauthors: Stefanie Huber und Menachem Kojman, Combinatorica 39, No. 3 (2019), 659-678. This used to be "An induced Ramsey theorem for modular profinite graphs"

  32. Scrambled Cantor sets, coauthors: Jan Grebík und Ben Miller, Proc. Am. Math. Soc., No. 10, 4461-4468 (2021)

  33. Halin's end degree conjecture , coauthors: Jan Kurkofka, Ruben Melcher, Max Pitz, Israel J. Math. 253, No. 2, 617-645 (2023)

 

Refereed survey papers:

  1. Applications of elementary submodels in general topology, in Foundations of the Formal Sciences I, Humboldt Universität zu Berlin, May 7-9, 1999, eds. Benedikt Löwe and Florian Rudolph, Synthese Volume 133 Nos. 1-2, October/November 2002, 31-41

  2. On Sacks Forcing and the Sacks Property, coauthor: Sandra Quickert, Foundations of the Formal Sciences III (B. Löwe, B. Piwinger, T. Räsch eds.), Complexity in Mathematics and Computer Science, Papers of a Conference in Vienna, September 21-24, 2001, Kluwer Academic Publishers, Dordrecht 2004 [Trends in Logic]

 

Preprints, recent submissions, and non-refereed papers:

  1. Almost disjoint families on large underlying sets, coauthors: Sakae Fuchino, Lajos Soukup, RIMS Kokyuroku, No.1530 (2007), 5-16

  2. Functions with many local extrema, RIMS Kokyuroku, No. 1619 (2008), 43-47

  3. Almost disjoint and independent families, RIMS Kokyuroku, No. 1790, 1-9 (2012)

  4. Choice and the hat game, coauthors: Robert Lubarsky and Mona Rahn, RIMS Kokuryoku Vol. 1949, 34-44 (2015)

  5. The shift on P(omega)/fin, preprint

 

Notes and papers that are not meant to be published in a journal:

  1. Analytic determinacy and sharps, Preprint Nr. A-05-2002, FB Mathematik und Informatik, Serie A: Mathematik.

  2. Incomplete metric spaces and Banach's fixed point theorem, preprint. This article has been superceded by [M. Elekes, On a converse to Banach's Fixed Point Theorem, Proc. Amer. Math. Soc. 137 (2009), no. 9, 3139-3146].

  3. Negative induced Ramsey theorems

  4. Convex open sets in n-dimensional space

  5. Separable linear orders and universality

  6. The nonexistence of universal metric flows for countable groups. The main result of this paper actually holds for arbitrary infinite discrete groups. This follows from the results in [Glasner, Eli; Tsankov, Todor; Weiss, Benjamin; Zucker, Andy, Bernoulli disjointness. Duke Math. J. 170, No. 4, 615-651 (2021)].

 

Papers by others:

  1. Von Pascal über Euler bis Fermat. An article by Ludek Valenta in German about discoveries in Pascal's triangle

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