A Note On Separating Function Sets
| Autor: | Buzyakova, Raushan, Okunev, Oleg |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: Lobachevskii Journal of Mathematics, accepted, 2017 |
| Databáze: | arXiv |
| Externí odkaz: |
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