A Note on Separating Function Sets
- 10 Downloads
We study separating function sets. We find some necessary and sufficient conditions for C p (X) or C p 2 (X) to have a point-separating subspace that is a metric space with certain nice properties. One of the corollaries to our discussion is that for a zero-dimensional X, C p (X) has a discrete point-separating space if and only if C p 2 (X) does.
Keywords and phrasesCp(X) discrete space point-separating set spread i-weight σ-product
Unable to display preview. Download preview PDF.
- 4.S. Gulko and T. Hmyleva, “Compactaness is not preserved by t-equivalence,” Mat. Zam. 39, 895–903 (1986).Google Scholar