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Topics in invariant descriptive set theory

โœ Scribed by Howard Becker


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
279 KB
Volume
111
Category
Article
ISSN
0168-0072

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โœฆ Synopsis


We generalize two concepts from special cases of Polish group actions to the general case. The two concepts are elementary embeddability, from model theory, and analytic sets, from the usual descriptive set theory.


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## Abstract If __X__ is a locally compact Polish space, then LSC(__X__, โ„) denotes the compact Polish space of lower semiโ€continuous realโ€valued functions on __X__ equipped with the topology of epiโ€convergence. Our purpose in this article is to prove the following: if โ€“โˆž < __ฮฑ__ < __ฮฒ__ < โˆž and โ€“โˆž