Families of mutually complementary topologies-Reference-Cited by-同舟云学术

Families of mutually complementary topologies

Published:1971 Issue:2 Volume:29 Page:362-368
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Anderson B. A.

Abstract

Several lattices of topologies on an infinite set are considered and bounds are given for the sup of the set of cardinals d such that there is a family of d mutually complementary topologies. Large classes of ℵ 0 {\aleph _0} -topologies are shown to have ℵ 0 {\aleph _0} -complements, and an example is given to prove that complementation is not, in general, a very selective topological operation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1971-029-02/S0002-9939-1971-0281141-0/S0002-9939-1971-0281141-0.pdf

Reference12 articles.

1. 𝑇₁-complements of 𝑇₁ topologies;Anderson, B. A.;Proc. Amer. Math. Soc.,1969

2. A class of topologies with 𝑇₁-complements;Anderson, B. A.;Fund. Math.,1970

3. American Mathematical Society Colloquium Publications, Vol. XXV;Birkhoff, Garrett,1967

4. Spaces in which sequences suffice. II;Franklin, S. P.;Fund. Math.,1967

5. Problems and Solutions: Solutions of Advanced Problems: 5468;Williams, S. W.;Amer. Math. Monthly,1968

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