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Topological and Borel compactifications of Polish G-spaces

✍ Scribed by Tzvi Scarr


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
76 KB
Volume
105
Category
Article
ISSN
0166-8641

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✦ Synopsis


We investigate the relationships between topological and Borel G-spaces, where G is a Polish group. We show that every Polish G-space can be topologically and equivariantly embedded into a compact Polish G-space iff G is locally compact. This answers a question of Kechris. It also provides a striking contrast to the recent result of Becker and Kechris which states that every Borel G-space can be Borel-embedded into a compact Polish G-space.


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