Nonmetrizable hereditarily Lindelöf spaces with point-countable bases from CH-Reference-Cited by-同舟云学术

Nonmetrizable hereditarily Lindelöf spaces with point-countable bases from CH

Published:1977 Issue:1 Volume:64 Page:139-145
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Van Douwen Eric K.,Tall Franklin D.,Weiss William A. R.

Abstract

A nonmetrizable hereditarily Lindelöf space with a point-countable base is obtained by using the continuum hypothesis to construct a Lusin subspace of a countable chain condition first countable nonseparable Baire space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-064-01/S0002-9939-1977-0514998-1/S0002-9939-1977-0514998-1.pdf

Reference26 articles.

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2. Everywhere-dense subsets of topological spaces;Amirdžanov, G. P.;Dokl. Akad. Nauk SSSR,1974

3. H. R. Bennett, Quasi-developable spaces, Dissertation, Arizona State Univ., Tempe, Arizona, 1968.

4. K. Devlin and H. Johnsbråten, The Souslin problem, Lecture Notes in Math., vol. 405, Springer-Verlag, New York, 1975.

5. E. K. Van Douwen, The Pixley-Roy topology on spaces of subsets (preprint).

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