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)

 

 

A Baire space extension


Author: R. A. McCoy
Journal: Proc. Amer. Math. Soc. 33 (1972), 199-202
MSC: Primary 54C20
DOI: https://doi.org/10.1090/S0002-9939-1972-0293569-4
MathSciNet review: 0293569
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A characterization of Baire spaces is given. Using this characterization, it is shown that every topological space is a dense subspace of some compact Baire space.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54C20

Retrieve articles in all journals with MSC: 54C20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0293569-4
Keywords: Baire space, H-closed space, open filter, open ultrafilter
Article copyright: © Copyright 1972 American Mathematical Society