E-mail: 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
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. V. Osipov, K. Kazachenko, “Joint continuity in semitopological monoids and semilattices”, Semigroup Forum, 2023.
6. A. E. Lipin, A. V. Osipov, “Ob uplotneniyakh na
σ-kompaktnye prostranstva”, Dokl. RAN. Matem., inform., prots. upr., 506 (2022), 57–61.
7. K. Kazachenko, A. V. Osipov, “Various types of completeness in topologized semilattices”, Semigroup Forum, 104:2 (2022), 358–375.
8. A. V. Osipov, E. G. Pytkeev, “Baire property of spaces of [0, 1]-valued continuous functions”, Revista Real Acad. de Cienc. Exactas, Fis. Natur. – Ser.A: Matematicas., 117, 38 (2023).
