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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Fiber preserving equivalence


Author: Richard T. Miller
Journal: Trans. Amer. Math. Soc. 207 (1975), 241-268
MSC: Primary 57C35; Secondary 58D10
MathSciNet review: 0388404
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Abstract: We give a theory of fibered regular neighborhoods based on a remarkable property of simplicial fibered projections. All the usual properties of regular neighborhoods are retained. Using Millett's fibered general position, together with the regular neighborhoods, we prove THEOREM. The simplicial space of codimension 4 PL embeddings of a complex into a PL manifold is locally contractible at each point of the space of topological embeddings.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0388404-7
Keywords: Piecewise linear, embedding, isotopy
Article copyright: © Copyright 1975 American Mathematical Society