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Constructing Locally Flat Embeddings of Infinite Dimensional Manifolds without Tubular Neighborhoods

Published online by Cambridge University Press:  20 November 2018

T. A. Chapman
T. A. Chapman*
Affiliation:
University of Kentucky, Lexington, Kentucky
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All spaces in this paper will be separable and metric. A closed embedding i: M → TV is said to be locally flat (of codimension n) if for each x0 ∈ M there is an open set U in M containing xo and an open embedding h: U X Rn → N for which h(x, 0) = i(x), for all x ∈ U.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 6 , 01 December 1978 , pp. 1174 - 1182
Copyright
Copyright © Canadian Mathematical Society 1978

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