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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
DOI: https://doi.org/10.1090/S0002-9939-1992-1112503-0
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.


References [Enhancements On Off] (What's this?)

  • [CTDS] Morton Brown, ed., Continuum theory and dynamical systems, Contemp. Math., vol. 117, Amer. Math. Soc., Providence, RI, 1991. MR 1112797 (92a:00038)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1992-1112503-0
Keywords: Continuous function, topological equivalence, conjugate, homeomorphism, homotopy
Article copyright: © Copyright 1992 American Mathematical Society

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