Singular compactifications: the order structure-Reference-Cited by-同舟云学术

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Singular compactifications: the order structure

Published:1987 Issue:2 Volume:100 Page:377-382
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chandler Richard E.,Faulkner Gary D.

Abstract

This paper investigates the order structure of the collection of singular compactifications of a locally compact Hausdorff space. In particular we will prove several theorems showing that β X \beta X is the supremum of these simpler compactifications.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-100-02/S0002-9939-1987-0884483-2/S0002-9939-1987-0884483-2.pdf

Reference12 articles.

1. P. S. Alexandroff and P. Urysohn, Memoire sur les espaces topologiques compacts, Verh. Nederl. Akad. Wetensch. Afd. Natuurk. Sect. I 14 (1929), 1-96.

2. Compact and related mappings;Cain, George L., Jr.;Duke Math. J.,1966

3. Mappings with prescribed singular sets;Cain, George L., Jr.;Nieuw Arch. Wisk. (3),1969

4. Properties of 𝛽𝑋-𝑋 for locally connected generalized continua;Cain, George L., Jr.;Proc. Amer. Math. Soc.,1980

5. Singular sets and remainders;Cain, George L.;Trans. Amer. Math. Soc.,1981

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