Topological entropy at an 𝑢-explosion

Block, Louis

doi:10.1090/S0002-9947-1978-0461578-8

Topological entropy at an $u$-explosion
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by Louis Block

Trans. Amer. Math. Soc. 235 (1978), 323-330

DOI: https://doi.org/10.1090/S0002-9947-1978-0461578-8

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Abstract:

In this paper an example is given of a ${C^2}$ map g from the circle onto itself, which permits an $\Omega$-explosion. It is shown that topological entropy (considered as a map from ${C^2}({S^1},{S^1})$ to the nonnegative real numbers) is continuous at g.

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