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Expansive homeomorphisms of countable compacta

✍ Scribed by Hisao Kato; Jong-Jin Park

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
134 KB
Volume
95
Category
Article
ISSN
0166-8641

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✦ Synopsis

In this paper, we give a characterization of countable compacta which admit expansive homeomorphisms. The main result is the following:

Theorem. Let X be a countable compactum and d(X) = Ξ±, where d(X) is the derived degree of X. Then X admits an expansive homeomorphism if and only if Ξ± is not a limit ordinal number.

πŸ“œ SIMILAR VOLUMES

Linearization of expansive homeomorphism
Linearization of expansive homeomorphisms
✍ Richard K. Williams πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science βš– 489 KB

In tl@s paper it is shown thal the problem of studying expansive hom~omo@&rns on a bounded subset of a normed linear space is equivalent to t$z probbm o +udying hear expansive homeomorphisms on a bounded subset of another nozmed Lie pace. If' the first space is a Hilbert space, the second may be tak