Hyperbolic metrics of expansive homeomorphisms
โ Scribed by Kazuhiro Sakai
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 218 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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) = ฮฑ, where d(X) is the derived degree of X. Then X admits an expansive homeomorphism if and only if ฮฑ is not a lim