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Keywords: topological semigroups, the space of continuous mappings, selection principles, S (n) -closed spaces, the Menger property, the Gurevich property, and the set-open topology.
UDC: 517.982.272, 515.122.55, 513.88
MSC: 54C40, 54C35, 54D60

Subject:

topological algebra, functional analysis, descriptive set theory, measure theory, infinite-combinatorial topology

Main publications:

• 1. A. V. Osipov, E. G. Pytkeev, “Every metric space of weight λ=λℵ0 admits a condensation onto a Banach space”, Topology and its Applications, 330 (2023), 108486
• 2. A. V. Osipov, “On the first Banach problem concerning condensations of absolute k-Borel sets onto compacta”, ACTA MATHEMATICA HUNGARICA, 173 (2024) 169--175.
• 3. A. V. Osipov, “Baire property of the space of Baire-one functions”, European Journal of Mathematics, 11:8 (2025).
• 4. A. V. Osipov, E. G. Pytkeev, “On the Problem of Condensation onto Compact Spaces”, DOKLADY MATHEMATICS, 100:2 (2019), 430–432.
• 5. A. G. Chentsov, A. V. Osipov, Topologicheskie metody issledovaniya zadach o dostizhimosti v usloviyakh priblizhennogo soblyudeniya ogranichenii, M.: RAN, 2025, 384 s.

Publications

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Organisations:

• Ural State University of Economics, Ekaterinburg
• Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
• N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg