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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Diffeomorphisms obtained from endomorphisms


Author: Louis Block
Journal: Trans. Amer. Math. Soc. 214 (1975), 403-413
MSC: Primary 58F20
MathSciNet review: 0388457
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1975-0388457-6
PII: S 0002-9947(1975)0388457-6
Keywords: Endomorphism, diffeomorphism, nonwandering set, hyperbolic structure, singularity, inverse limit
Article copyright: © Copyright 1975 American Mathematical Society