Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 531037, 18 pages
doi:10.1155/2009/531037
Fixed points of maps of a nonaspherical wedge
Seung Won Kim1
, Robert F. Brown2
, Adam Ericksen3
, Nirattaya Khamsemanan4
and Keith Merrill5
1Department of Mathematics, College of Science, Kyungsung University, Busan 608-736, South Korea
2Department of Mathematics, University of California, Los Angeles, CA 90095, USA
3Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA
4Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani 12121, Thailand
5Department of Mathematics, Brandeis University, Belmont, MA 02453, USA
Abstract
Let X be a finite polyhedron that has the homotopy type of the wedge of the projective plane and the circle. With the aid of techniques from combinatorial group theory, we obtain formulas for the Nielsen numbers of the selfmaps of X.