Maximal connected expansions of the reals-Reference-Cited by-同舟云学术

Maximal connected expansions of the reals

Published:1978 Issue:1 Volume:69 Page:159-165
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Guthrie J. A.,Stone H. E.,Wage M. L.

Abstract

The question of whether there exist nontrivial maximal connected Hausdorff spaces is settled in the affirmative by showing that there is a maximal connected topology for the reals which is finer than the Euclidean topology.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-069-01/S0002-9939-1978-0467646-4/S0002-9939-1978-0467646-4.pdf

Reference16 articles.

1. On connected irresolvable Hausdorff spaces;Anderson, Douglas R.;Proc. Amer. Math. Soc.,1965

2. A connected Hausdorff space which is not contained in a maximal connected space;Baggs, Ivan;Pacific J. Math.,1974

3. On extensions of topologies;Borges, Carlos J. R.;Canadian J. Math.,1967

4. Open, connected functions;Friedler, Louis;Canad. Math. Bull.,1973

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