Accessible points of hereditarily decomposable chainable continua-Reference-Cited by-同舟云学术

Accessible points of hereditarily decomposable chainable continua

Published:1992 Issue:2 Volume:332 Page:711-727
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Minc Piotr,Transue W. R. R.

Abstract

In this paper it is proven that a chainable continuum X X can be embedded in the plane in such a way that every point is accessible from its complement if and only if it is Suslinean. An example is shown of an hereditarily decomposable chainable continuum which cannot be embedded in the plane in such a way that each endpoint is accessible.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1992-332-02/S0002-9947-1992-1073777-2/S0002-9947-1992-1073777-2.pdf

Reference12 articles.

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3. A characterization of chainable continua;Fugate, J. B.;Canadian J. Math.,1969

4. On the Moore triodic theorem;Lelek, A.;Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astronom. Phys.,1960

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