Sh:613

• Jin, R., & Shelah, S. (1998). Compactness of Loeb spaces. J. Symbolic Logic, 63(4), 1371–1392. arXiv: math/9604211 DOI: 10.2307/2586655 MR: 1665731
• 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 §1 we prove that Loeb spaces are compact under various assumptions, and in §2 we prove that Loeb spaces are not compact under various other assumptions. The results in §1 and §2 give a quite complete answer to a question of D. Ross.
• Version 1997-01-07_10 (26p) published version (23p)

@article{Sh:613,
 author = {Jin, Renling and Shelah, Saharon},
 title = {{Compactness of Loeb spaces}},
 journal = {J. Symbolic Logic},
 fjournal = {The Journal of Symbolic Logic},
 volume = {63},
 number = {4},
 year = {1998},
 pages = {1371--1392},
 issn = {0022-4812},
 mrnumber = {1665731},
 mrclass = {03H05 (28E05)},
 doi = {10.2307/2586655},
 note = {\href{https://arxiv.org/abs/math/9604211}{arXiv: math/9604211}},
 arxiv_number = {math/9604211}
}