The product of two countably compact topological groups-Reference-Cited by-同舟云学术

The product of two countably compact topological groups

Published:1980 Issue:2 Volume:262 Page:417-427
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

van Douwen Eric K.

Abstract

We use MA ( = Martin’s Axiom) to construct two countably compact topological groups whose product is not countably compact. To this end we first use MA to construct an infinite countably compact topological group which has no nontrivial convergent sequences.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1980-262-02/S0002-9947-1980-0586725-8/S0002-9947-1980-0586725-8.pdf

Reference24 articles.

1. P. Alexandroff and P. Urysohn, Mémoire sur les espaces topologiques compacts, Verh. Konink. Akad. Wetensch., Afd. Nat., Sectie 1, 14 (1929), 1-96.

2. A new kind of compactness for topological spaces;Bernstein, Allen R.;Fund. Math.,1969

3. E. Čech and B. Pospíšil, Sur les espaces compacts, Publ. Fac. Sci. Univ. Masaryk Brno 258 (1938), 1-14.

4. W. W. Comfort, Letter to K. A. Ross, August 1, 1966.

5. Pseudocompactness and uniform continuity in topological groups;Comfort, W. W.;Pacific J. Math.,1966

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