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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2007/083420 |
| Summary: | <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> |
|---|---|
| ISSN: | 1687-1820 1687-1812 |