Estimating Nielsen Numbers on Wedge Product Spaces
Let f:X→X be a self-map of a finite polyhedron that is an aspherical wedge product space X. In this paper, we estimate the Nielsen number N(f) of f. In particular, we study some algebraic properties of the free products and then estimate Nielsen numbers on torus wedge surface with boundary, Kle...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/83420 |
| _version_ | 1818925016356487168 |
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| author | Seung Won Kim Nirattaya Khamsemanan |
| author_facet | Seung Won Kim Nirattaya Khamsemanan |
| author_sort | Seung Won Kim |
| collection | DOAJ |
| description | Let f:X→X be a self-map of a finite polyhedron that is an aspherical wedge product space X. In this paper, we estimate the Nielsen number N(f) of f. In particular, we study some algebraic properties of the free products and then estimate Nielsen numbers on torus wedge surface with boundary, Klein bottle wedge surface with boundary, and torus wedge torus. |
| first_indexed | 2024-12-20T02:34:31Z |
| format | Article |
| id | doaj.art-b577e48b6b024f6abc8718e649b5f016 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-20T02:34:31Z |
| publishDate | 2008-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-b577e48b6b024f6abc8718e649b5f0162022-12-21T19:56:29ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-01-01200710.1155/2007/83420Estimating Nielsen Numbers on Wedge Product SpacesSeung Won KimNirattaya KhamsemananLet f:X→X be a self-map of a finite polyhedron that is an aspherical wedge product space X. In this paper, we estimate the Nielsen number N(f) of f. In particular, we study some algebraic properties of the free products and then estimate Nielsen numbers on torus wedge surface with boundary, Klein bottle wedge surface with boundary, and torus wedge torus.http://dx.doi.org/10.1155/2007/83420 |
| spellingShingle | Seung Won Kim Nirattaya Khamsemanan Estimating Nielsen Numbers on Wedge Product Spaces Fixed Point Theory and Applications |
| title | Estimating Nielsen Numbers on Wedge Product Spaces |
| title_full | Estimating Nielsen Numbers on Wedge Product Spaces |
| title_fullStr | Estimating Nielsen Numbers on Wedge Product Spaces |
| title_full_unstemmed | Estimating Nielsen Numbers on Wedge Product Spaces |
| title_short | Estimating Nielsen Numbers on Wedge Product Spaces |
| title_sort | estimating nielsen numbers on wedge product spaces |
| url | http://dx.doi.org/10.1155/2007/83420 |
| work_keys_str_mv | AT seungwonkim estimatingnielsennumbersonwedgeproductspaces AT nirattayakhamsemanan estimatingnielsennumbersonwedgeproductspaces |