Regular neighborhoods and topological manifolds

Weller, Glenn P.

doi:10.1090/S0002-9939-1974-0328949-3

Regular neighborhoods and topological manifolds
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Proc. Amer. Math. Soc. 42 (1974), 320-325 Request permission

Abstract:

This paper defines a notion of topological regular neighborhood for compact triangulable subspaces of topological manifolds, proves a uniqueness theorem for such neighborhoods, and shows that this theorem is in a sense the best possible. These results have obvious applications to regular neighborhoods in manifolds having more than one piecewise linear structure.

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