Stefan Geschke's Papers

1. Homogene kompakte Räume, Master's thesis, FU Berlin (1995)
2. On sigma-filtered Boolean algebras, Ph.D. thesis, FU Berlin (1999)
3. Convex geometry, continuous Ramsey theory, and ideals generated by graphs of functions, a survey of the articles reviewed for my Habilitation, FU Berlin (2004)

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, 285-317 (2002)
5. Convexity numbers of closed subsets in R^n, coauthor: Menachem Kojman, Proc. Am. Math. Soc. 130, No. 10, 2871-2881 (2002)
6. 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, 3367-3377 (2004)
7. Some notes concerning the homogeneity of Boolean algebras and Boolean spaces, coauthor: Saharon Shelah, Topology and its Applications 133, 241-253 (2003)
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, 233-255 (2004)
9. More convexity numbers of closed sets in R^n, Proc. Am. Math. Soc. 133, 1307-1315 (2005)
10. A note on minimal dynamical systems, Acta Univ. Carol., Math. Phys. 45, No.2, 35-43 (2004)
11. 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
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), pp. 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 , April 2007, Pages 1-36
15. An upper bound for the cellularity of the phase space of a minimal dynamical system, to appear in Topology Proceedings
16. Metric Baumgartner theorems and universality, coauthor: Menachem Kojman, Math. Res. Lett. 14 (2007), no. 2, 215-226
17. Potentially continuous colorings, to appear in Archive for Mathematical Logic
18. The number of openly generated Boolean algebras, coauthor: Saharon Shelah, Journal of Symbolic Logic 73 (2008), 151-164
19. Functions for which all points are a local minimum or maximum, coauthors: Ehrhard Behrends, Tomasz Natkaniec, Real Analysis Exchange, Vol. 33(2), 2007/2008, pp. 1-4
20. Low distortion embeddings of infinite metric spaces, to appear in Annals of Pure and Applied Logic

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]

1. Almost disjoint families on large underlying sets, coauthors: Sakae Fuchino, Lajos Soukup, RIMS Kokyuroku, No.1530 (February 2007), 5-16
2. How to drive our families mad, coauthors: Sakae Fuchino, Lajos Soukup, submitted
3. Symmetrized induced Ramsey theorems, coauthor: Menachem Kojman, submitted
4. Functions with many local extrema, preprint
5. Negative induced Ramsey theorems, preprint
6. The shift on P(omega)/fin, preprint

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, submitted].