Title

Linearly Ordered Topological Spaces and Weak Domain Representability

Author(s)

Joe Mashburn, University of DaytonFollow

Document Type

Article

Publication Date

2010

Publication Source

Topology Proceedings

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

Comments

The article available for download is the author's accepted manuscript, made available with the permission of the publisher. Some differences may exist between the manuscript and the published version; as such, researchers wishing to quote directly from this resource are advised to consult the version of record. View the version of record online.

Permission documentation is on file.

Copyright

Copyright © 2009, Topology Proceedings.

Publisher

Auburn University

Volume

35

Peer Reviewed

yes

Keywords

Weak domain, weak domain representable, linearly ordered topological space, Baire, domain, domain representable

eCommons Citation

Mashburn, Joe, "Linearly Ordered Topological Spaces and Weak Domain Representability" (2010). Mathematics Faculty Publications. 20.
https://ecommons.udayton.edu/mth_fac_pub/20