Estimating Nielsen Numbers on Wedge Product Spaces
<p/> <p>Let <inline-formula><graphic file="1687-1812-2007-083420-i1.gif"/></inline-formula> be a self-map of a finite polyhedron that is an aspherical wedge product space <inline-formula><graphic file="1687-1812-2007-083420-i2.gif"/></...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2007/083420 |
| _version_ | 1818822929918459904 |
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| author | Kim Seung Won Khamsemanan Nirattaya |
| author_facet | Kim Seung Won Khamsemanan Nirattaya |
| author_sort | Kim Seung Won |
| collection | DOAJ |
| description | <p/> <p>Let <inline-formula><graphic file="1687-1812-2007-083420-i1.gif"/></inline-formula> be a self-map of a finite polyhedron that is an aspherical wedge product space <inline-formula><graphic file="1687-1812-2007-083420-i2.gif"/></inline-formula>. In this paper, we estimate the Nielsen number <inline-formula><graphic file="1687-1812-2007-083420-i3.gif"/></inline-formula> of <inline-formula><graphic file="1687-1812-2007-083420-i4.gif"/></inline-formula>. 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.</p> |
| first_indexed | 2024-12-18T23:31:54Z |
| format | Article |
| id | doaj.art-73e29e87eeb240e19cd1da460bf48372 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-18T23:31:54Z |
| publishDate | 2007-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-73e29e87eeb240e19cd1da460bf483722022-12-21T20:47:39ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122007-01-0120071083420Estimating Nielsen Numbers on Wedge Product SpacesKim Seung WonKhamsemanan Nirattaya<p/> <p>Let <inline-formula><graphic file="1687-1812-2007-083420-i1.gif"/></inline-formula> be a self-map of a finite polyhedron that is an aspherical wedge product space <inline-formula><graphic file="1687-1812-2007-083420-i2.gif"/></inline-formula>. In this paper, we estimate the Nielsen number <inline-formula><graphic file="1687-1812-2007-083420-i3.gif"/></inline-formula> of <inline-formula><graphic file="1687-1812-2007-083420-i4.gif"/></inline-formula>. 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.</p>http://www.fixedpointtheoryandapplications.com/content/2007/083420 |
| spellingShingle | Kim Seung Won Khamsemanan Nirattaya 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://www.fixedpointtheoryandapplications.com/content/2007/083420 |
| work_keys_str_mv | AT kimseungwon estimatingnielsennumbersonwedgeproductspaces AT khamsemanannirattaya estimatingnielsennumbersonwedgeproductspaces |