Periodicity and indecomposability-Reference-Cited by-同舟云学术

Periodicity and indecomposability

Published:1995 Issue:6 Volume:123 Page:1907-1916
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ingram W. T.

Abstract

In this paper we characterize the existence of periodic points of odd period greater than one for unimodal mappings of an interval onto itself. The interesting juxtaposition of this condition with the occurrence in inverse limits of the well-known Brouwer-Janiszewski-Knaster continuum is explored. Also obtained is a characterization of indecomposability of certain inverse limits using a single unimodal bonding map.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-06/S0002-9939-1995-1283553-1/S0002-9939-1995-1283553-1.pdf

Reference10 articles.

1. Chaos, periodicity, and snakelike continua;Barge, Marcy;Trans. Amer. Math. Soc.,1985

2. Ralph Bennett, On Inverse Limit Sequences, Master’s Thesis, University of Tennessee, 1962.

3. Progress in Physics;Collet, Pierre,1980

4. Confluent mappings on [0,1] and inverse limits;Davis, James F.;Topology Proc.,1990

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