Cut-point spaces-Reference-Cited by-同舟云学术

Cut-point spaces

Published:1999-04-15 Issue:9 Volume:127 Page:2797-2803
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Honari B.,Bahrampour Y.

Abstract

The notion of a cut-point space is introduced as a connected topological space without any non-cut point. It is shown that a cut-point space is infinite. The non-cut point existence theorem is proved for general (not necessarily T 1 T_1 ) topological spaces to show that a cut-point space is non-compact. Also, the class of irreducible cut-point spaces is studied and it is shown that this class (up to homeomorphism) has exactly one member: the Khalimsky line.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-09/S0002-9939-99-04839-X/S0002-9939-99-04839-X.pdf

Reference6 articles.

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3. [4] R. L. Moore, “Concerning simple continuous curves”, Trans. Amer. Math. Soc., 21 (1920) 333-347.

4. Monographs and Textbooks in Pure and Applied Mathematics;Nadler, Sam B., Jr.,1992

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