arXiv Analytics

Sign in

arXiv:math/9604211 [math.LO]AbstractReferencesReviewsResources

Compactness of Loeb Spaces

R. Jin, Saharon Shelah

Published 1996-04-24Version 1

In this paper we show that the compactness of a Loeb space depends on its cardinality, the nonstandard universe it belongs to and the underlying model of set theory we live in. In section 1 we prove that Loeb spaces are compact under various assumptions, and in section 2 we prove that Loeb spaces are not compact under various other assumptions. The results in section 1 and section 2 give a quite complete answer to a question of D. Ross.

Categories: math.LO
Related articles: Most relevant | Search more
arXiv:math/0404240 [math.LO] (Published 2004-04-13)
The pair $(\aleph_n,\aleph_0)$ may fail $\aleph_0$--compactness
arXiv:1704.04751 [math.LO] (Published 2017-04-16)
Compactness of maximal eventually different families
arXiv:1601.03596 [math.LO] (Published 2016-01-14)
Compactness of the quantifier on "Complete Embedding of BA's"

Links

Toolbox