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On generalizations of Lavrentieff's theorem for Polish group actions
Author(s):
Longyun
Ding;
Su
Gao
Abstract | References | Similar articles | Additional information
Abstract:
It is shown that for every Polish group
Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 54H05, 22F05 Retrieve articles in all Journals with MSC (2000): 54H05, 22F05
Longyun
Ding
Su
Gao
|
that is not locally compact there is a continuous action 
of 
on a 
-complete subset 
of a Polish space 
such that 
cannot be extended to any superset of 
in 
. This answers a question posed by Becker and Kechris and shows that an earlier theorem of them is optimal in several aspects. 
-ideals of compact sets, Trans. Amer. Math. Soc. 301 (1987), no. 1, 263-288.