Separability and Sequential Separability of the Space C(X) View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-07

AUTHORS

A. V. Osipov

ABSTRACT

The following results are obtained: (1) a criterion for the separability of the space of continuous functions C(X) with the set-open topology; (2) a criterion for the sequential separability of the space Cp(A|X), where A ⊆ X; (3) an answer to Velichko’s question of whether a set-theoretic condition on a metric space X in a criterion for the sequential separability of Cp(X) is necessary. More... »

PAGES

86-95

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0001434618070106

DOI

http://dx.doi.org/10.1134/s0001434618070106

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107431762


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