Article
Linearly Ordered Topological Spaces and Weak Domain Representability
Topology Proceedings
Document Type
Article
Publication Date
1-1-2010
Abstract
It is well known that domain representable spaces, that is topological spaces that are homeomorphic to the space of maximal elements of some domain, must be Baire. In this paper it is shown that every linearly ordered topological space (LOTS) is homeomorphic to an open dense subset of a weak domain representable space. This means that weak domain representable spaces need not be Baire.
Inclusive pages
149-164
ISBN/ISSN
0146-4124
Document Version
Postprint
Copyright
Copyright © 2009, Topology Proceedings.
Publisher
Auburn University
Peer Reviewed
Yes
Keywords
- Weak domain,
- weak domain representable,
- linearly ordered topological space,
- Baire,
- domain,
- domain representable
Disciplines
Citation Information
Joe Mashburn. "Linearly Ordered Topological Spaces and Weak Domain Representability" Topology Proceedings Vol. 35 (2010) Available at: http://works.bepress.com/joe_mashburn/7/
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