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Fixed points and graph images for minimal maps on the once punctured torus
- Source :
-
Topology & Its Applications . Oct2011, Vol. 158 Issue 16, p2210-2215. 6p. - Publication Year :
- 2011
-
Abstract
- Abstract: A fixed point detection theorem for a family of maps defined on the once punctured torus is proved. As a consequence, we produce an example of a homotopy class [f] of self-maps on the once punctured torus that illustrates the following: (i) there is a map in the homotopy class that has no fixed points, and (ii) if the image of f lies in a 1-complex that embeds as a homotopy equivalence, then f must have a fixed point. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 158
- Issue :
- 16
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 64484578
- Full Text :
- https://doi.org/10.1016/j.topol.2011.07.012