We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the Quasinormal Convergence of Functions.
- Authors
Osipov, A. V.
- Abstract
In the paper, it is proved that a topological space is a -space if and only if every image of the space under a Baire mapping to the Baire space is bounded. It is shown that there exists a compact -space such that its image under a Borel mapping to the Baire space is unbounded. The existence of such a space answers a question of L. Bukovský and J. Haleš. Generalizations of results of N. N. Kholshchevnikova concerning the representation of functions on subsets of the number line by trigonometric series are obtained.
- Subjects
BAIRE spaces; TOPOLOGICAL spaces
- Publication
Mathematical Notes, 2021, Vol 109, Issue 1/2, p120
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434621010144