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Publikationen
Akademische Prüfungsarbeiten
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Homogene kompakte Räume, Diplomarbeit, FU Berlin (1995)
On sigma-filtered Boolean algebras, Dissertation, FU Berlin (2000)
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Convex geometry, continuous Ramsey theory, and ideals generated by graphs of functions, Zusammenfassung der Arbeiten, die für die Habilitation eingereicht wurden, FU Berlin (2005)
Begutachtete Arbeiten in Fachzeitschriften
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On the weak Freese-Nation property of P(omega), Koautoren: Sakae Fuchino and Lajos Soukup, Archive for Mathematical Logic 40 (2001), no. 6, 425-435
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On the weak Freese-Nation property of complete Boolean algebras, Koautoren: Sakae Fuchino, Saharon Shelah, and Lajos Soukup, Annals of Pure and Applied Logic 110 (2001), no. 1-3, 80-105
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On tightly kappa-filtered Boolean algebras, Algebra Universalis 47 (2002), 69-93
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Convex decompositions in the plane and continuous pair colorings of the irrationals, Koautoren: Menachem Kojman, Wieslaw Kubis, and Rene Schipperus, Israel J. Math. 131 (2002), 285-317
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Convexity numbers of closed subsets in R^n, Koautor: Menachem Kojman, Proc. Am. Math. Soc. 130, No. 10 (2002), 2871-2881
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Some notes concerning the homogeneity of Boolean algebras and Boolean spaces, Koautor: Saharon Shelah, Topology and its Applications 133 (2003), 241-253
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Covering R^{n+1} by graphs of n-ary functions and long linear orderings of Turing degrees, Koautor: Uri Abraham, Proc. Am. Math. Soc. 132, No. 11 (2004), 3367-3377
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Some combinatorial principles defined in terms of elementary submodels (formerly "Remarks on a paper of Juhasz and Kunen"), Koautor: Sakae Fuchino, Fund. Math. 181 (2004), 233-255
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A note on minimal dynamical systems, Acta Univ. Carol., Math. Phys. 45, No.2 (2004), 35-43
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Continuous Ramsey theory on Polish spaces and covering the plane by functions, Koautoren: Martin Goldstern, Menachem Kojman, Journal of Mathematical Logic, Vol. 4, No. 2 (2004), 109-145
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More convexity numbers of closed sets in R^n, Proc. Am. Math. Soc. 133 (2005), 1307-1315
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A dual open coloring axiom, Annals of Pure and Applied Logic 140 (2006), 40-51
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The coinitiality of a compact space, Topology Proceedings 30 No. 1 (2006), 237-250
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Injective and projective T-Boolean algebras, Koautoren: Richard N. Ball and James N. Hagler, Journal of Pure and Applied Algebra, Volume 209, Issue 1 (2007), 1-36
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Metric Baumgartner theorems and universality, Koautor: 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
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Functions for which all points are a local minimum or maximum, Koautoren: Ehrhard Behrends, Tomasz Natkaniec, Real Analysis Exchange, Vol. 33(2) (2007/2008), 1-4
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Potential continuity of colorings, Archive for Mathematical Logic 47 (2008), No. 6, 567-578
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The number of openly generated Boolean algebras, Koautor: Saharon Shelah, Journal of Symbolic Logic 73 (2008), 151-164
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Low distortion embeddings of infinite metric spaces, Ann. Pure Appl. Logic 157 (2009), no. 2-3, 148-160
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An upper bound for the cellularity of the phase space of a minimal dynamical system, Topology Proc. 36 (2010), 393-398.
Diese ist eine aktualisierte Fassung, in der eine Lücke gefüllt ist, die von David Milovich gefunden wurde.
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The coinitialities of Efimov spaces, Set Theory and its Applications, Babinkostova et al., Editors, Contemporary Mathematics 533 (2011), 259-265
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Weak Borel chromatic numbers, Mathematical Logic Quarterly, Volume 57, Issue 1 (2011), 5-13
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Symmetrized induced Ramsey theorems, Koautor: Menachem Kojman, Graphs and Combinatorics, Volume 27, Issue 6 (2011), 851-864
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Basis theorems for continuous n-colorings, Koautorin: Stefanie Frick, Journal of Combinatorial Theory, Series A, Volume 118, Issue 4 (2011), 1334-1349
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How to drive our families mad, Koautoren: Sakae Fuchino, Osvaldo Guzman, Lajos Soukup, akzeptiert
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Clopen graphs, Fundamenta Mathematicae 220, No. 2 (2013), 155-189
2-dimensional convexity numbers and P_4-free graphs, Canadian Mathematical Bulletin 57 (2014), 61-71
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Self-dual uniform matroids on infinite sets, Koautor: Nathan Bowler, Proceedings of the AMS 144, No. 2 (2016), 459-471
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Minimal obstructions for normal spanning trees , Koautoren: Nathan Bowler, Max Pitz, Fund. Math. 241 (2018), 245-263
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The nonexistence of universal metric flows, Comment. Math. Univ. Carolinae, vol. 59, no. 4 (2018), pp. 487-493.
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Partitioning subgraphs of pro finite ordered graphs,
Koautoren: Stefanie Huber und Menachem Kojman, Combinatorica 39, No. 3 (2019),
659-678. Früherer Titel: "An induced Ramsey theorem for modular profinite graphs"
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Scrambled Cantor sets, Koautoren: Jan Grebík und Ben Miller, Proc. Am. Math. Soc., No. 10, 4461-4468 (2021)
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Halin's end degree conjecture , Koautoren: Jan Kurkofka, Ruben Melcher, Max Pitz, Israel J. Math. 253, No. 2, 617-645 (2023)
Begutachtete Übersichtsartikel
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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
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On Sacks Forcing and the Sacks Property, Koautorin: 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, eingereichte Arbeiten und nichtbegutachtete Arbeiten
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Almost disjoint families on large underlying sets, Koautoren: Sakae Fuchino, Lajos Soukup, RIMS Kokyuroku, No.1530 (2007), 5-16
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Functions with many local extrema, RIMS Kokyuroku, No. 1619 (2008), 43-47
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Almost disjoint and independent families, RIMS Kokyuroku, No. 1790, 1-9 (2012)
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Choice and the hat game, Koautoren: Robert Lubarsky und Mona Rahn, RIMS Kokuryoku Vol. 1949, 34-44 (2015)
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The shift on P(omega)/fin, Preprint
Bemerkungen und Arbeiten, die nicht zur Veröffentlichung vorgesehen sind
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Analytic determinacy and sharps, Preprint Nr. A-05-2002, FB Mathematik und Informatik, Serie A: Mathematik.
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Incomplete metric spaces and Banach's fixed point theorem, Preprint.
Ein besseres Ergebnis findet sich in [M. Elekes, On a converse to Banach's Fixed Point Theorem, Proc. Amer. Math. Soc. 137 (2009), no. 9, 3139-3146].
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Negative induced Ramsey theorems
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Convex open sets in n-dimensional space
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Separable linear orders and universality
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The nonexistence of universal metric flows for countable groups.
Das Hauptresultat dieser Arbeit folgt auch aus den Resultaten in
[Glasner, Eli; Tsankov, Todor; Weiss, Benjamin; Zucker, Andy,
Bernoulli disjointness.
Duke Math. J. 170, No. 4, 615-651 (2021)].
Arbeiten anderer Autoren
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Von Pascal über Euler bis Fermat Eine Arbeit von Ludek Valenta über Entdeckungen im Pascalschen Dreieck
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