When Cp(X) is Domain Representable

Author(s)

William Fleissner, University of Kansas
Lynne Yengulalp, University of DaytonFollow

Document Type

Article

Publication Date

2013

Publication Source

Fundamenta Mathematicae

Abstract

Let M be a metrizable group. Let G be a dense subgroup of M^X . If G is domain representable, then G = MX . The following corollaries answer open questions. If X is completely regular and C_p(X) is domain representable, then X is discrete. If X is zero-dimensional, T₂ , and C_p(X;D) is subcompact, then X is discrete.

Inclusive pages

65-81

ISBN/ISSN

0016-2736

Document Version

Preprint

Comments

The document available for download is the authors' submitted manuscript, provided in compliance with the publisher's policy on self-archiving. Differences may exist between this document and the published version, which is available using the link provided. Permission documentation is on file.

Copyright

Copyright © 2013, Instytut Matematyczny Polskiej Akademii Nauk

Publisher

Instytut Matematyczny Polskiej Akademii Nauk

Volume

223

Issue

1

Peer Reviewed

yes

eCommons Citation

Fleissner, William and Yengulalp, Lynne, "When Cp(X) is Domain Representable" (2013). Mathematics Faculty Publications. 37.
https://ecommons.udayton.edu/mth_fac_pub/37