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

An uncountable collection of mutually incomparable chainable continua

Published:1993 Issue:1 Volume:118 Page:239-245
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Awartani Marwan M.

Abstract

We exhibit the existence of continuum many compactifications of the ray with the arc as remainder, no one of which maps onto any other. We also obtain continuum many pathwise connected circularly chainable continua no one of which maps onto any other. The involved constructions and proofs are combinatorial in nature.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-118-01/S0002-9939-1993-1092914-3/S0002-9939-1993-1092914-3.pdf

Reference9 articles.

1. Compactifications of the ray with the closed arc as remainder;Awartani, Marwan M.;Topology Proc.,1984

2. The fixed remainder property for self homeomorphisms of Elsa continua;Awartani, Marwan M.;Topology Proc.,1986

3. An uncountable collection of chainable continua;Bellamy, David P.;Trans. Amer. Math. Soc.,1971

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

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Minimal sets on continua with a dense free interval;Journal of Mathematical Analysis and Applications;2023-01

2. There is no compact metrizable space containing all continua as unique components;Topology and its Applications;2021-08

3. Continua whose hyperspace of nonblockers of F1(X) is a continuum;Topology and its Applications;2019-08

4. Incomparable compactifications of the ray with Peano continuum as remainder;Topology and its Applications;2016-08

5. Chain recurrent sets of generic mappings on compact spaces;Topology and its Applications;2016-04