On a conjecture of Conley
type: Item
instance of: scholarly article
title: On a conjecture of Conley
zbMATH Open document ID: 1053.37003
DOI: 10.1016/S0960-0779(03)00209-1
author: Tusen Huang
author: Changming Ding
published in: Chaos, Solitons and Fractals
publication date: 2004-07-01T00:00:00Z
review text: The authors deal with a conjecture of Conley on the semicontinuity of the nonwandering set function. The authors give a partial answer to this conjecture. Indeed, they first prove the upper semicontinuity of the chain recurrent set function. Next, the authors prove that the set of points where the nonwandering set and the chain recurrent set coincide is contained in the set of points of upper semicontinuity of the nonwandering set function. However, it is not generally contained in the set of points of lower semicontinuity of the nonwandering set function.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 37B05
Mathematics Subject Classification ID: 37B30
Mathematics Subject Classification ID: 37B35
zbMATH DE Number: 2077275
zbMATH Keywords: nonwandering set
zbMATH Keywords: upper and lower semicontinuity
zbMATH Keywords: chain recurrent set
MaRDI profile type: Publication
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full work available at URL: s0960-0779(03)00209-1
OpenAlex ID: W2000197581
description: scientific article; zbMATH DE number 2077275