$\beta $-Homotopy Equivalences Have $\alpha $-Cross Sections

· American Mathematical Society: Memoirs of the American Mathematical Society Book 274 · American Mathematical Soc.
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37
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The purpose of this paper is to study the following problem: When is there a locally flat embedding g: N[superscript]n [right arrow] M[superscript]m such that pg is [lowercase Greek]Alpha-close to h? This problem is intimately related to the problem of approximating topological embeddings with locally flat embeddings.

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