When C-p(X) is domain representable

作者：Fleissner William^*; Yengulalp Lynne

来源：Fundamenta Mathematicae, 2013, 223(1): 65-81.

DOI：10.4064/fm223-1-5

• domain representable
• subcompact
• C-p(X)

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, T-2, and C-p(X, D) is subcompact, then X is discrete.

• 出版日期2013