Connectivity properties for subspaces of function spaces determined by fixed points
Gonçalves, Daciberg L. ; Kelly, Michael R.
Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 121-128 / Harvested from Project Euclid
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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.
Publié le : 2003-01-30
Classification:  55M20,  58C30,  54H25 
@article{1050426057,
     author = {Gon\c calves, Daciberg L. and Kelly, Michael R.},
     title = {Connectivity properties for subspaces of function spaces
determined by fixed points},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 121-128},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050426057}
}

Gonçalves, Daciberg L.; Kelly, Michael R. Connectivity properties for subspaces of function spaces
determined by fixed points. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  121-128. http://gdmltest.u-ga.fr/item/1050426057/