Autor:	Christopher G. Mouron
Rok vydání:	2002
Předmět:	Discrete mathematics Indecomposable continuum Continuum (topology) Homeomorphism Combinatorics Expansive homeomorphism Finitely cyclic Integer Geometry and Topology Tranche Indecomposable module Expansive Mathematics
Zdroj:	Topology and its Applications. 126:13-28
ISSN:	0166-8641
DOI:	10.1016/s0166-8641(02)00002-0
Popis:	A continuum X is k-cyclic if given any ε>0, there is a finite open cover U of X such that mesh(U)0 and every x,y∈X there exists an integer n such that d(hn(x),hn(y))>ε. We prove that if X is a k-cyclic continuum that admits an expansive homeomorphism, then X must contain an nondegenerate indecomposable subcontinuum.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::078d499f891da0b4587fbd9537488c6f https://doi.org/10.1016/s0166-8641(02)00002-0 Zobrazit plný text záznamu Full Text from ScienceDirect