Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

CH and open subspaces of $ F$-spaces


Author: Alan Dow
Journal: Proc. Amer. Math. Soc. 89 (1983), 341-345
MSC: Primary 54D35; Secondary 03E50, 04A30, 54A35
DOI: https://doi.org/10.1090/S0002-9939-1983-0712648-5
MathSciNet review: 712648
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: N. J. Fine and L. Gillman showed that, if one assumes CH, each open subset of an $ F$-space of weight $ c$ is an $ F$-space. In this note it is shown that this fact is equivalent to CH.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54D35, 03E50, 04A30, 54A35

Retrieve articles in all journals with MSC: 54D35, 03E50, 04A30, 54A35


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0712648-5
Keywords: $ F$-space, $ P$-space
Article copyright: © Copyright 1983 American Mathematical Society