On some properties of the space of upper semicontinuous functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

A. V. Osipov, E. G. Pytkeev

ABSTRACT

For a Tychonoff space X, we will denote by USCp(X) (B1(X)) the set of all real-valued upper semicontinuous functions (the set of all Baire functions of class 1) defined on X endowed with the pointwise convergence topology. In this paper we describe a class of Tychonoff spaces X for which the space USCp(X) is sequentially separable. Unexpectedly, it turns out that this class coincides with the class of spaces for which a stronger form of the sequential separability for the space B1(X) holds. More... »

PAGES

459-464

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10474-018-00906-1

DOI

http://dx.doi.org/10.1007/s10474-018-00906-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111057700


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