Homology of some groups of PL-homeomorphisms of the line
โ Scribed by Peter Greenberg
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 569 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We establish the connection between two fields of Topology that until now seemed to be far away from each other, namely digital topology and the theory of generalized closed sets. In this paper we study ฮธ-generalized homeomorphisms, their groups and some allied concepts applied to digital topology.
Let X be a zero-dimensional compact space such that all non-empty clopen subsets of X are homeomorphic to each other, and let Aut X be the group of all self-homeomorphisms of X, equipped with the compact-open topology. We prove that the Roelcke compactification of Aut X can be identified with the se