Abstract and Applied Analysis

On the Structure of Brouwer Homeomorphisms Embeddable in a Flow

Zbigniew Leśniak

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 248413, 8 pages.

Dates
First available in Project Euclid: 7 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1399487772

Digital Object Identifier
doi:10.1155/2012/248413

Mathematical Reviews number (MathSciNet)
MR2965439

Zentralblatt MATH identifier
1288.54027

Citation

Leśniak, Zbigniew. On the Structure of Brouwer Homeomorphisms Embeddable in a Flow. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 248413, 8 pages. doi:10.1155/2012/248413. https://projecteuclid.org/euclid.aaa/1399487772


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