Alexander V. Osipov
Ural Federal University
105 Papers
253 Citations
Alexander V. Osipov is an academic researcher from Ural Federal University. The author has contributed to research in topics: Function space & Space (mathematics). The author has an hindex of 9, co-authored 74 publications. Previous affiliations of Alexander V. Osipov include Ural State University & Russian Academy of Sciences.
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Papers
On the problem of condensation onto compacta
Alexander V. Osipov,А В Осипов,E. G. Pytkeev,Е Г Пыткеев +3 more
- 24 Sep 2019
TL;DR: The existence of such a space answers negatively to the question of V.I. Ponomareva: Is every perfectly normal compact compact an α-space? as mentioned in this paper proves that in the class of ordered compacts the property of being an α -space is not multiplicative.
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Selection principles in function spaces with the compact-open topology
TL;DR: In this paper, the authors investigate applications of $k$-covers in function spaces with the compact-open topology and show that they can be applied to a variety of problems.
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Selection principles and games in bitopological function spaces
TL;DR: In this article, the selective separability and tightness of a Tychonoff space was studied in the context of topological games in the space of real-valued continuous functions.
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On separability of the functional space with the open-point and bi-point-open topologies
TL;DR: In this article, the authors study the separability of functional spaces with the open-point and bi-point-open topologies and show that for every set of reals X, C(X) with the bi-Point-Open topology is a separable space.
The Menger and projective Menger properties of function spaces with the set-open topology
TL;DR: In this article, the Menger and projective Menger properties of a Hausdorff space with a set-open topology were studied, and it was shown that the space of all real-valued continuous functions on this space is Menger space if and only if it is σ-compact.
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