topological semigroups, the space of continuous mappings, selection principles, S (n) -closed spaces, the Menger property, the Gurevich property, and the set-open topology.
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, “Note on the Banach Problem 1 of condensations of Banach spaces onto compacta”, Filomat, 37:7 (2023), 2183–2186
3. A. V. Osipov, “On the first Banach problem concerning condensations of absolute k-Borel sets onto compacta”, ACTA MATHEMATICA HUNGARICA, 2024.
A. V. Osipov, “Frechet-Urysohn property of quasicontinuous functions”, Rocky Mountain Journal of Mathematics, 2024. (to appear) https://projecteuclid.org/journals/rmjm/rocky-mountain-journal-of-mathematics/acceptedpapers
2.
D. Yu. Lyakhovets, A. V. Osipov, “Nekotorye svoistva topologicheskikh ezhei”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 88 (2024), 37–52
3.
A. V. Osipov, K. Kazachenko, “Author Correction: Joint continuity in semitopological monoids and semilattices”, Semigroup Forum, 108 (2024), 272–-273
4.
A. V. Osipov, “On the product of almost discrete Grothendieck spaces”, Topology and its Applications, 350 (2024), 108919 https://www.sciencedirect.com/science/article/abs/pii/S0166864124001044
5.
A. V. Osipov, “On the first Banach problem concerning condensations of absolute
k-Borel sets onto compacta”, ACTA MATHEMATICA HUNGARICA, 2024. https://doi.org/10.1007/s10474-024-01428-9
6.
A. V. Osipov, “On countable tightness type properties of spaces of quasicontinuous functions”, Rocky Mountain Journal of Mathematics, 2024. (to appear) https://projecteuclid.org/journals/rmjm/rocky-mountain-journal-of-mathematics/acceptedpapers
7.
A. V. Osipov, “Velichko's notions close to sequential separability and their hereditary variants in Cp-theory”, Topology and its Applications, 2024, 109076
8.
A. V. Osipov, “Different kinds of tightness on the space of Baire-one functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 1, 2023, 160–166
9.
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). https://link.springer.com/article/10.1007/s13398-022-01371-w#citeas
A. V. Osipov, “Selection principles and bitopological hyperspaces”, Applied General Topology, 24:1 (2023), 1–8
12.
A. V. Osipov, “The projectively Hurewicz property is t-invariant”, Filomat, 37:28 (2023), 9613–-9616
13.
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
V. I. Belugin, A. V. Osipov, E. G. Pytkeev, “Some Properties of Subcompact Spaces”, Math. Notes, 111:2 (2022), 193–203
20.
A. E. Lipin, A. V. Osipov, “On condensations onto $\sigma$-compact spaces”, Dokl. Math., 106:2 (2022), 351–355
21.
V. I. Belugin, A. V. Osipov, E. G. Pytkeev, “On the properties of subclasses of weakly dyadic compact spaces”, Siberian Math. J., 63:6 (2022), 1034–1040
22.
M. Bhardwaj, A. V. Osipov, “Mildly version of Hurewicz basis covering property and Hurewicz measure zero spaces”, Bulletin of the Belgian Mathematical Society - Simon Stevin, 29:1 (2022), 121-–131
23.
K. Kazachenko, A. V. Osipov, “Various types of completeness in topologized semilattices”, Semigroup Forum, 104:2 (2022), 358–375
M Bhardwaj, A. V. Osipov, “Rothberger property and related games”, PUBLICATIONES MATHEMATICAE DEBRECEN, 101:1-2 (2022), 1-14
26.
A. V. Osipov, E. G. Pytkeev, “Baire property of some function spaces”, ACTA MATHEMATICA HUNGARICA, 168 (2022), 246–259 https://link.springer.com/article/10.1007/s10474-022-01274-7#citeas
27.
A. V. Osipov, “On the Quasinormal Convergence of Functions”, Math. Notes, 109:1 (2021), 120–124
28.
V. I. Belugin, A. V. Osipov, E. G. Pytkeev, “On Classes of Subcompact Spaces”, Math. Notes, 109:6 (2021), 849–858
29.
A. V. Osipov, E. G. Pytkeev, “Solution of Ponomarev's problem of condensation onto compact sets”, Siberian Math. J., 62:1 (2021), 131–137
30.
A. V. Osipov, “On the cardinality of S(n)-Spaces”, QUAESTIONES MATHEMATICAE, 44:1 (2021), 121–128
A. V. Osipov, S. Özçag, “On the Alster, Menger and D-type covering properties”, QUAESTIONES MATHEMATICAE, 44:3 (2021), 369–377
32.
S. Bardyla, A. V. Osipov, “ON REGULAR κ-BOUNDED SPACES ADMITTING ONLY CONSTANT CONTINUOUS MAPPINGS INTO T1 SPACES OF PSEUDOCHARACTER ≤ κ”, ACTA MATHEMATICA HUNGARICA, 163:1 (2021), 323–333
A. V. Osipov, P. Szewczak, B. Tsaban, “Strongly sequentially separable function spaces, via selection principles”, Topology and its Applications, 270 (2020), 106942
M Bhardwaj, A. V. Osipov, “Star versions of the Hurewicz basis covering property and strong measure zero spaces”, TURKISH JOURNAL OF MATHEMATICS, 44:3 (2020), 1042–1053
A. V. Osipov, “Indestructibly productively Lindelof and Menger function spaces”, Topology and its Applications, 281 (2020), 107202
41.
A. V. Osipov, “On generalization of theorems of Pestryakov”, Topology and its Applications, 283 (2020), 107399
42.
A. V. Osipov, “Remarks on Ostrovsky's theorem”, Sib. elektron. matem. izv., 16 (2019), 435–438
43.
A. V. Osipov, “On the Hewitt realcompactification and $\tau$-placedness of function spaces”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 4, 2019, 177–183
44.
A. V. Osipov, “On selective sequential separability of function spaces with the compact-open topology”, HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 48:6 (2019), 1761–1766
45.
D. Lyakhovets, A. V. Osipov, “Selection Principles and Games in Bitopological Function Spaces”, Filomat, 33:14 (2019), 4535-4540
A. V. Osipov, “Application of selection principles in the study of the properties of function spaces”, ACTA MATHEMATICA HUNGARICA, 154:2 (2018), 362–377
A. V. Osipov, S. Özçag, “Variations of selective separability and tightness in function spaces with set-open topologies”, Topology and its Applications, 217 (2017), 38–50
A. V. Osipov, “Uniformity of Uniform Convergence on the Family of Sets”, Topology Proceedings, 50 (2017), 79-86
64.
A. V. Osipov, “Different kinds of tightness of a functional space”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:3 (2016), 192–199
65.
A. V. Osipov, “On separability of the functional space with the open-point and bi-point-open topologies”, ACTA MATHEMATICA HUNGARICA, 150:1 (2016), 167-175
A. V. Osipov, “On the Multiplicativity of $CFC$-Spaces”, Math. Notes, 93:1 (2013), 158–162
68.
A. V. Osipov, E. G. Pytkeev, “On the $\sigma$-countable compactness of spaces of continuous functions with the set-open topology”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S153–S162
69.
A. V. Osipov, “Some Properties of Minimal S(α) and S(α)FC Spaces”, Topology Proceedings, 42 (2013), 91-105
70.
A. V. Osipov, “Algebraic structures on the space of continuous maps”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 1, 47–53
71.
A. V. Osipov, “The dual of $C_{rc}(X)$”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 1, 41–49
72.
A. V. Osipov, “On the completeness properties of the $C$-compact-open topology on $C(X)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 2, 2012, 191–198
73.
A. V. Osipov, “Topological-algebraic properties of function spaces with set-open topologies”, Topology and its Applications, 159:3 (2012), 800–805
A. V. Osipov, D. A. Kosolobov, “On sequentially compact-open topology”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 75–84
76.
A. V. Osipov, “Properties of the $C$-compact-open topology on a function space”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 258–277
77.
A. V. Osipov, “The set-open topology”, Topology Proceedings, 37 (2011), 205-217 topology.nipissingu.ca/tp/reprints/v37/tp37013.pdf
78.
A. V. Osipov, “Weakly set-open topology”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 167–176
79.
S. È. Nokhrin, A. V. Osipov, “On the coincidence of the set-open and uniform topologies”, Proc. Inst. Math. Mech., 267, suppl. 1 (2009), S184–S191
80.
A. V. Osipov, “Nearly H-closed spaces”, Journal of Mathematical Sciences, 155 (2008), 624-–631 https://link.springer.com/article/10.1007/s10958-008-9234-9