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Subjects
54-XX General topology
54Cxx Maps and general types of spaces defined by maps
54C30 Real-valued functions

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When $C_{p} (X)$ is domain representable

William Fleissner, Lynne Yengulalp (2013)

Fundamenta Mathematicae

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.

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Displaying 1 – 1 of 1

When C p ( X ) is domain representable

Currently displaying 1 – 1 of 1

When $C_{p} (X)$ is domain representable