A circle is not the generalized inverse limit of a subset of [0,1]²-Reference-Cited by-同舟云学术

A circle is not the generalized inverse limit of a subset of [0,1]²

Published:2011-03-22 Issue:8 Volume:139 Page:2987-2993
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Illanes Alejandro

Abstract

In this paper we show that the simple closed curve cannot be obtained as the inverse limit of an upper semi-continuous multivalued function from [ 0 , 1 ] [0,1] into [ 0 , 1 ] [0,1] .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2011-139-08/S0002-9939-2011-10876-1/S0002-9939-2011-10876-1.pdf

Reference6 articles.

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3. Inverse limits with subsets of [0,1]×[0,1];Mahavier, William S.;Topology Appl.,2004

4. Generalized inverse limits;Peláez, Antonio;Houston J. Math.,2006

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