Abstract
We study the topology of a subspace of the function space of continuous self-mappings of a given manifold: the subspace determined by maps having the least number of fixed points in its homotopy class. In the case that the manifold is a closed disk of finite dimension, we prove that this subspace is both globally and locally path connected. We also prove this result when the manifold is a sphere of dimension 1, 3, or 7.
Citation
Daciberg L. Gonçalves. Michael R. Kelly. "Connectivity properties for subspaces of function spaces determined by fixed points." Abstr. Appl. Anal. 2003 (2) 121 - 128, 30 January 2003. https://doi.org/10.1155/S1085337503204024
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