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, to appear in Topology Proceedings
14. Injective and projective T-Boolean algebras, coauthors: Richard N. Ball and James N. Hagler, to appear in Journal of Pure and Applied Algebra
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, to appear in Mathematical Research Letters
17. Potentially continuous colorings, to appear in Archive for Mathematical Logic
18. The number of openly generated Boolean algebras, coauthor: Saharon Shelah, to appear in Journal of Symbolic 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. How to drive our families mad, coauthors: Sakae Fuchino, Lajos Soukup, submitted
2. Functions for which all points are a local minimum or maximum, coauthor: Ehrhard Behrends, submitted
3. Low distortion embeddings of infinite metric spaces, submitted

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].