An uncountable collection of chainable continua-Reference-Cited by-同舟云学术

An uncountable collection of chainable continua

Published:1971 Issue:0 Volume:160 Page:297-304
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bellamy David P.

Abstract

We demonstrate the existence of an uncountable collection of chainable continua, no member of which can be mapped onto any other member. Path connectedness considerations and techniques involving compactifications play an important role in the construction and argument.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1971-160-00/S0002-9947-1971-0286076-X/S0002-9947-1971-0286076-X.pdf

Reference9 articles.

1. Continua as remainders in compact extensions;Aarts, J. M.;Nieuw Arch. Wisk. (3),1967

2. A non-metric indecomposable continuum;Bellamy, David P.;Duke Math. J.,1971

3. \bysame, Topological properties of compactifications of a half-open interval, Ph.D. Thesis, Michigan State University, E. Lansing, Mich., 1968.

4. Snake-like continua;Bing, R. H.;Duke Math. J.,1951

5. Upper semi-continuous continuum-valued mappings onto circle-like continua;Cook, H.;Fund. Math.,1967

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