research_article
2019-04-01
true
https://link.springer.com/10.1007%2Fs10474-018-00906-1
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.
2019-04
https://scigraph.springernature.com/explorer/license/
en
On some properties of the space of upper semicontinuous functions
articles
459-464
2019-04-11T13:20
Ural Federal University
Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, 620219, Ekaterinburg, Russia
readcube_id
084b1b75909d5c6155ac3ee566c944c111f469a69fa1412d243f9b0b63d49e36
Mathematical Sciences
dimensions_id
pub.1111057700
Ural State University of Economics
Ural State University of Economics, 620144, Ekaterinburg, Russia
Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, 620219, Ekaterinburg, Russia
Springer Nature - SN SciGraph project
157
doi
10.1007/s10474-018-00906-1
0236-5294
Acta Mathematica Hungarica
1588-2632
2
E. G.
Pytkeev
Pure Mathematics
Osipov
A. V.