Connectivity Properties for Subspaces of Function Spaces Determined by Fixed Points
نویسندگان
چکیده
We study the topology of a subspace of the function space of continuous selfmappings of a givenmanifold: the subspace determined bymaps 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.
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