On the Structure of Brouwer Homeomorphisms Embeddable in a Flow

On the Structure of Brouwer Homeomorphisms Embeddable in a Flow

We present two theorems describing the structure of the set of all regular points and the set of all irregular points for a Brouwer homeomorphism which is embeddable in a flow. The theorems are counterparts of structure theorems proved by Homma and Terasaka. To obtain our results, we use properties...

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Main Author: Zbigniew Leśniak
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/248413
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spelling doaj-e76d59b1e713444f816ec6eecaa9fb8e2020-11-24T20:44:59ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/248413248413On the Structure of Brouwer Homeomorphisms Embeddable in a FlowZbigniew Leśniak0Institute of Mathematics, Pedagogical University of Cracow, Podchorążych 2, 30-084 Cracow, PolandWe present two theorems describing the structure of the set of all regular points and the set of all irregular points for a Brouwer homeomorphism which is embeddable in a flow. The theorems are counterparts of structure theorems proved by Homma and Terasaka. To obtain our results, we use properties of the codivergence relation.http://dx.doi.org/10.1155/2012/248413
collection DOAJ
language English
format Article
sources DOAJ
author Zbigniew Leśniak
spellingShingle Zbigniew Leśniak
On the Structure of Brouwer Homeomorphisms Embeddable in a Flow
Abstract and Applied Analysis
author_facet Zbigniew Leśniak
author_sort Zbigniew Leśniak
title On the Structure of Brouwer Homeomorphisms Embeddable in a Flow
title_short On the Structure of Brouwer Homeomorphisms Embeddable in a Flow
title_full On the Structure of Brouwer Homeomorphisms Embeddable in a Flow
title_fullStr On the Structure of Brouwer Homeomorphisms Embeddable in a Flow
title_full_unstemmed On the Structure of Brouwer Homeomorphisms Embeddable in a Flow
title_sort on the structure of brouwer homeomorphisms embeddable in a flow
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We present two theorems describing the structure of the set of all regular points and the set of all irregular points for a Brouwer homeomorphism which is embeddable in a flow. The theorems are counterparts of structure theorems proved by Homma and Terasaka. To obtain our results, we use properties of the codivergence relation.
url http://dx.doi.org/10.1155/2012/248413
work_keys_str_mv AT zbigniewlesniak onthestructureofbrouwerhomeomorphismsembeddableinaflow
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