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)

 
 

 

Remarks on the cardinality of compact spaces and their Lindelöf subspaces


Authors: A. Hajnal and I. Juhász
Journal: Proc. Amer. Math. Soc. 59 (1976), 146-148
MSC: Primary 54A25; Secondary 54D30
DOI: https://doi.org/10.1090/S0002-9939-1976-0423283-7
MathSciNet review: 0423283
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Several applications of the Čech-Pospišil theorem are given; one of them states (under CH) that every uncountable compact space has a Lindelöf subspace of cardinality $ {\omega _1}$.


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

  • [1] I. Juhász, Cardinal functions in topology, Math. Centre Tracts, no. 34, Mathematisch Centrum, Amsterdam, 1971. MR 49 #4778. MR 0340021 (49:4778)
  • [2] R. Engelking, Outline of general topology, Biblioteka Mat., Tom 25, PWN, Warsaw, 1965; English transl., North-Holland, Amsterdam; PWN, Warsaw; Interscience, New York, 1968. MR 36 #4508; 37 #5836. MR 0230273 (37:5836)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54A25, 54D30

Retrieve articles in all journals with MSC: 54A25, 54D30


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0423283-7
Article copyright: © Copyright 1976 American Mathematical Society

American Mathematical Society