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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/248413 |
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| _version_ | 1832550386343346176 |
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| author | Zbigniew Leśniak |
| author_facet | Zbigniew Leśniak |
| author_sort | Zbigniew Leśniak |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e76d59b1e713444f816ec6eecaa9fb8e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e76d59b1e713444f816ec6eecaa9fb8e2025-02-03T06:06:57ZengWileyAbstract 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 |
| spellingShingle | Zbigniew Leśniak On the Structure of Brouwer Homeomorphisms Embeddable in a Flow Abstract and Applied Analysis |
| title | 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_short | On the Structure of Brouwer Homeomorphisms Embeddable in a Flow |
| title_sort | on the structure of brouwer homeomorphisms embeddable in a flow |
| url | http://dx.doi.org/10.1155/2012/248413 |
| work_keys_str_mv | AT zbigniewlesniak onthestructureofbrouwerhomeomorphismsembeddableinaflow |