- Title
- Varieties of abelian topological groups and scattered spaces
- Creator
- McPhail, Carolyn; Morris, Sidney
- Date
- 2008
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/56103
- Identifier
- vital:1713
- Identifier
-
https://doi.org/10.1017/s0004972708000877
- Identifier
- ISSN:0004-9727
- Abstract
- The variety of topological groups generated by the class of all abelian k(omega)-groups has been shown to equal the variety of topological groups generated by the free abelian topological group on [0, 1]. In this paper it is proved that the free abelian topological group on a compact Hausdorff space X generates the same variety if and only if X is not scattered.
- Publisher
- Cambridge University Press
- Relation
- Bulletin of the Australian Mathematical Society Vol. 78, no. 3 (Dec 2008), p. 487-495
- Rights
- Copyright Australian Mathematical Society
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Variety of topological groups; Abelian topological group; Scattered topological space; Free abelian topological group; Peano curve
- Full Text
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