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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Continuous functions on the interval which have conjugates near the identity


Author: Sam W. Young
Journal: Proc. Amer. Math. Soc. 116 (1992), 833-838
MSC: Primary 54C05; Secondary 54H15
MathSciNet review: 1112503
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Abstract: This paper concerns continuous functions on the unit interval and provides solutions to two problems: Characterize those continuous functions that are topologically equivalent (resp. conjugate) to functions arbitrarily near the identity. The second question was raised by Joe Martin.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1112503-0
PII: S 0002-9939(1992)1112503-0
Keywords: Continuous function, topological equivalence, conjugate, homeomorphism, homotopy
Article copyright: © Copyright 1992 American Mathematical Society