Some examples of Borel sets
Ryszard Engelking, Włodzimierz Holsztyński, Roman Sikorski (1966)
Colloquium Mathematicum
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Displaying similar documents to “On the non-existence of certain group topologies”
Some examples of Borel sets
An example concerning automorphisms of generalized cubes
Dorothy Maharam (1980)
Fundamenta Mathematicae
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Baire spaces and weak topologies generated by gap and excess functionals
László Zsilinszky (1999)
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On compact metric spaces and the group of Baire equivalences
E. Lorch (1968)
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Non-separable Borel sets
A. H. Stone
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CONTENTS1. Introduction.................................................................................. 32. Baire spaces................................................................................ 53. The basic theorem..................................................................... 94. Cardinality properties; invariance of weight........................... 165. Classification of absolute Borel sets..................................... 226. Characterizations..........................................................................
Topologies in product which preserve Baire spaces
Anna Kucia (1990)
Commentationes Mathematicae Universitatis Carolinae
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Invariant Borel liftings for category algebras of Baire groups
Maxim R. Burke (2007)
Fundamenta Mathematicae
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R. A. Johnson showed that there is no translation-invariant Borel lifting for the measure algebra of ℝ/ℤ equipped with Haar measure, a result which was generalized by M. Talagrand to non-discrete locally compact abelian groups and by J. Kupka and K. Prikry to arbitrary non-discrete locally compact groups. In this paper we study analogs of these results for category algebras (the Borel σ-algebra modulo the ideal of first category sets) of topological groups. Our main results are for the...