Diffeomorphisms obtained from endomorphisms

Block, Louis

doi:10.1090/S0002-9947-1975-0388457-6

Diffeomorphisms obtained from endomorphisms
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Trans. Amer. Math. Soc. 214 (1975), 403-413 Request permission

Abstract:

It is shown that if f is a differentiable map of a compact manifold, and the singularities of f satisfy a certain condition, then there is a diffeomorphism (of a different manifold) whose orbit structure is closely related to that of f. This theorem is then used to extend several results on the orbit structure of diffeomorphisms to the noninvertible case.

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