Nagar, Anima ; Kannan, V. (2001) Spaces admitting topologically transitive maps Topology Proceedings, 26 (1). pp. 297-306. ISSN 0146-4124
Full text not available from this repository.
Official URL: http://at.yorku.ca/b/a/a/l/23.htm
Abstract
In this paper, after observing that on certain topological spaces there are no topologically transitive maps at all, we characterize all those locally compact subspaces of the real line that admit a topologically transitive map. We prove that any locally compact subspace X of R admitting a topologically transitive map, must be one of the following up to homeomorphism: (1) Finite discrete space; (2) Finite union of nontrivial compact intervals; (3) Finite union of nontrivial noncompact intervals; (4) Cantor set K; (5) K + N.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Topology Atlas. |
| Keywords: | Cantor Set; Locally Compact; Topologically Transitive |
| ID Code: | 15592 |
| Deposited On: | 13 Nov 2010 12:52 |
| Last Modified: | 03 Jun 2011 07:39 |
Repository Staff Only: item control page
