University of Illinois at Urbana-Champaign

Slawomir Solecki

Professor
Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street (MC-382)
Urbana, Illinois 61801-2975

Papers published before 2003

The structure of the space of composants of an indecomposable continuum, Adv. Math. 166 (2002), 149--192

Descriptive set theory in topology, in Recent Progress in General Topology II, Elsevier 2002, pp.487--514

Haar null and non-dominating sets, Fund. Math. 170 (2001), 197--217

A martingale proof of the theorem by Jessen, Marcinkiewicz, and Zygmund on strong differentiation of integrals, Seminaire de Probabilites XXXV, Lectures Notes in Mathematics 1755, Springer 2001, pp.158--161, joint with M. Kuchta and M. Morayne

Actions of non-compact and non-locally compact Polish groups, J. Symbolic Logic 65 (2000), 1881--1894

Filters and sequences, Fund. Math. 163 (2000), 215--228

Complexity of the set of Peano functions, Colloq. Math. 83 (2000), 101--105, joint with K. Omiljanowski and J. Zielinski

Analytic ideals and their applications, Ann. Pure Appl. Logic 99 (1999), 51--72

Borel chromatic numbers, Adv. Math. 141 (1999), 1--44, joint with A.S. Kechris and S. Todorcevic

Polish group topologies, in Sets and Proofs, London Mathematical Society Lecture Notes Series 258, Cambridge University Press 1999, pp.339--364

Dominating and unbounded free sets, J. Symbolic Logic 64 (1999), 75--80, joint with O. Spinas

Topological Vaught conjecture and Polish transformation groups, Trans. Amer. Math. Soc. 351 (1999), 2623--2641, joint with G. Hjorth

Making Borel functions look continuous, Real Analysis Exch. 24 (1998-99), 657--662

Decomposing Borel sets and functions and the structure of Baire class 1 functions, J. Amer. Math. Soc. 11 (1998), 521--550

The logic of public announcements, common knowledge and private suspicions, in Proceedings of TARK'98 (Seventh Conference on Theoretical Aspects of Rationality and Knowledge), Morgan Kaufmann 1998, pp.43--56, joint with A. Baltag and L.S. Moss

Automatic continuity of group operations, Topology Appl. 77 (1997), 65--75, joint with S. Srivastava

Analytic ideals, Bull. Symbolic Logic 2 (1996), 339--348

On Haar null sets, Fund. Math. 149 (1996), 205--210

Equivalence relations induced by actions of Polish groups, Trans. Amer. Math. Soc. 347 (1995), 4765--4777

Approximating analytic by Borel sets and definable countable chain conditions, Israel J. Math. 89 (1995), 343--356, joint with A.S. Kechris

Covering analytic sets by families of closed sets, J. Symbolic Logic 59 (1994), 1022--1031

Measurability properties of sets of Vitali's type, Proc. Amer. Math. Soc. 119 (1993), 897--902;

Certain games, category, and measure, Proc. Amer. Math. Soc. 119 (1993), 275--279

On sets nonmeasurable with respect to invariant measures, Proc. Amer. Math. Soc. 119 (1993), 115--124

Decomposing Baire functions, J. Symbolic Logic 56 (1991), 1273--1283, joint with J. Cichon, M. Morayne, and J. Pawlikowski

Martingale proof of the existence of Lebesgue points, Real Analysis Exch. 15 (1989-90), 401--406, joint with M. Morayne

Subgroups of R^n generated by semicontinua, Topology Appl. 36 (1990), 247--251