When $C_p\left(X\right)$ is domain representable

William Fleissner, and Lynne Yengulalp. "When $C_p(X)$ is domain representable." Fundamenta Mathematicae 223.1 (2013): 65-81. <http://eudml.org/doc/283372>.

@article{WilliamFleissner2013,
abstract = {Let M be a metrizable group. Let G be a dense subgroup of $M^X$. We prove that if G is domain representable, then $G = M^X$. 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 $C_p(X,)$ is subcompact, then X is discrete.},
author = {William Fleissner, Lynne Yengulalp},
journal = {Fundamenta Mathematicae},
keywords = {domain representable; subcompact; },
language = {eng},
number = {1},
pages = {65-81},
title = {When $C_p(X)$ is domain representable},
url = {http://eudml.org/doc/283372},
volume = {223},
year = {2013},
}

TY - JOUR
AU - William Fleissner
AU - Lynne Yengulalp
TI - When $C_p(X)$ is domain representable
JO - Fundamenta Mathematicae
PY - 2013
VL - 223
IS - 1
SP - 65
EP - 81
AB - Let M be a metrizable group. Let G be a dense subgroup of $M^X$. We prove that if G is domain representable, then $G = M^X$. 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 $C_p(X,)$ is subcompact, then X is discrete.
LA - eng
KW - domain representable; subcompact;
UR - http://eudml.org/doc/283372
ER -