Embeddings in generalized manifolds |
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Authors: | J. L. Bryant W. Mio |
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Affiliation: | Department of Mathematics, Florida State University, Tallahassee, Florida 32306 ; Department of Mathematics, Florida State University, Tallahassee, Florida 32306 |
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Abstract: | We prove that a ()-connected map from a compact PL -manifold to a generalized -manifold with the disjoint disks property, , is homotopic to a tame embedding. There is also a controlled version of this result, as well as a version for noncompact and proper maps that are properly ()-connected. The techniques developed lead to a general position result for arbitrary maps , , and a Whitney trick for separating submanifolds of that have intersection number 0, analogous to the well-known results when is a manifold. |
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Keywords: | Generalized manifolds embeddings |
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