Noncontinuity of topological entropy of maps of the Cantor set and of the interval
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- by Louis Block PDF
- Proc. Amer. Math. Soc. 50 (1975), 388-393 Request permission
Abstract:
We show that topological entropy, as a map on the space of continuous functions of the Cantor set into itself, is not continuous anywhere. Furthermore, topological entropy, as a map on the space of continuous functions of the interval into itself, is not continuous at any map with finite entropy.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 388-393
- MSC: Primary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1975-0367953-7
- MathSciNet review: 0367953