Document Type

Article

Publication Date

2013

Publication Source

Fundamenta Mathematicae

Abstract

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

Publisher

Instytut Matematyczny Polskiej Akademii Nauk

Volume

223

Issue

1

Peer Reviewed

yes

Link to published version

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