Connectivity properties for subspaces of function spaces determined by fixed points
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503204024 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |