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Polish group actions, nice topologies, and admissible sets

✍ Scribed by Barbara Majcher-Iwanow

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
240 KB
Volume
54
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

Let G be a closed subgroup of S~∞~ and X be a Polish G ‐space. To every x ∈ X we associate an admissible set A~x~ and show how questions about X which involve Baire category can be formalized in A~x~ . (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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## dedicated to helmut wielandt on the occasion of his 90th birthday There are many dimension functions defined on arbitrary topological spaces taking either a finite value or the value infinity. This paper defines a cardinal valued dimension function, dim. The Lie algebra G of a compact group G i