Compactness of Loeb spaces

Journal of Symbolic Logic 63 (4):1371-1392 (1998)
  Copy   BIBTEX

Abstract

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 $\S1$ we prove that Loeb spaces are compact under various assumptions, and in $\S2$ we prove that Loeb spaces are not compact under various other assumptions. The results in $\S1$ and $\S2$ give a quite complete answer to a question of D. Ross in [9], [11] and [12]

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,221

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Maharam spectra of Loeb spaces.Renling Jin & H. Jerome Keisler - 2000 - Journal of Symbolic Logic 65 (2):550-566.
The strength of the isomorphism property.Renling Jin & Saharon Shelah - 1994 - Journal of Symbolic Logic 59 (1):292-301.
Actions of non-compact and non-locally compact polish groups.Sławomir Solecki - 2000 - Journal of Symbolic Logic 65 (4):1881-1894.
A conjunction in closure spaces.Andrzej W. Jankowski - 1984 - Studia Logica 43 (4):341 - 351.
Measurability and degrees of strong compactness.Arthur W. Apter - 1981 - Journal of Symbolic Logic 46 (2):249-254.
Reduced coproducts of compact hausdorff spaces.Paul Bankston - 1987 - Journal of Symbolic Logic 52 (2):404-424.
Disjunctions in closure spaces.Andrzej W. Jankowski - 1985 - Studia Logica 44 (1):11 - 24.
Set theoretic properties of Loeb measure.Arnold W. Miller - 1990 - Journal of Symbolic Logic 55 (3):1022-1036.

Analytics

Added to PP
2009-01-28

Downloads
25 (#540,179)

6 months
5 (#244,526)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations