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.
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
5.
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, D. A. Kosolobov, “On sequentially compact-open topology”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 75–84
12.
V. I. Belugin, A. V. Osipov, E. G. Pytkeev, “On Classes of Subcompact Spaces”, Math. Notes, 109:6 (2021), 849–858
13.
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
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.
K. Kazachenko, A. V. Osipov, “Various types of completeness in topologized semilattices”, Semigroup Forum, 104:2 (2022), 358–375
A. V. Osipov, P. Szewczak, B. Tsaban, “Strongly sequentially separable function spaces, via selection principles”, Topology and its Applications, 270 (2020), 106942
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
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, E. G. Pytkeev, “Every metric space of weight λ=λℵ0 admits a condensation onto a Banach space”, Topology and its Applications, 330 (2023), 108486
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
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, “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, 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
47.
A. V. Osipov, “Algebraic structures on the space of continuous maps”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 1, 47–53
48.
A. V. Osipov, “The dual of $C_{rc}(X)$”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 1, 41–49
49.
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
50.
A. V. Osipov, “Different kinds of closedness in $S(n)$-spaces”, Proc. Inst. Math. Mech., 2003no. , suppl. 1, S155–S160
51.
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
52.
D. Yu. Lyakhovets, A. V. Osipov, “Nekotorye svoistva topologicheskikh ezhei”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 88 (2024), 37–52
53.
A. V. Osipov, K. Kazachenko, “Author Correction: Joint continuity in semitopological monoids and semilattices”, Semigroup Forum, 108 (2024), 272–-273
54.
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
55.
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
56.
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
57.
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
58.
A. V. Osipov, “Selection principles and bitopological hyperspaces”, Applied General Topology, 24:1 (2023), 1–8
59.
A. V. Osipov, “The projectively Hurewicz property is t-invariant”, Filomat, 37:28 (2023), 9613–-9616
60.
M Bhardwaj, A. V. Osipov, “Some observations on a clopen version of the Rothberger property”, Cubo, 25:2 (2023), 161–-172
61.
A. V. Osipov, “On embedding of F-hedgehogs in function spaces”, Publications de l'Institut Mathematique, 114:128 (2023), 9–17
62.
A. E. Lipin, A. V. Osipov, “On condensations onto $\sigma$-compact spaces”, Dokl. Math., 106:2 (2022), 351–355
63.
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
64.
M Bhardwaj, A. V. Osipov, “Rothberger property and related games”, PUBLICATIONES MATHEMATICAE DEBRECEN, 101:1-2 (2022), 1-14
65.
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
66.
A. V. Osipov, “On the Quasinormal Convergence of Functions”, Math. Notes, 109:1 (2021), 120–124
67.
A. V. Osipov, S. Özçag, “On the Alster, Menger and D-type covering properties”, QUAESTIONES MATHEMATICAE, 44:3 (2021), 369–377
68.
S. Clontz, A. V. Osipov, “On Ramsey Properties, Function Spaces, and Topological Games”, Filomat, 34:7 (2020), 2377–2386
69.
A. V. Osipov, “Indestructibly productively Lindelof and Menger function spaces”, Topology and its Applications, 281 (2020), 107202
70.
A. V. Osipov, “On generalization of theorems of Pestryakov”, Topology and its Applications, 283 (2020), 107399
71.
A. V. Osipov, “Remarks on Ostrovsky's theorem”, Sib. elektron. matem. izv., 16 (2019), 435–438
72.
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
73.
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
74.
A. V. Osipov, E. G. Pytkeev, “On some properties of the space of upper semicontinuous functions”, ACTA MATHEMATICA HUNGARICA, 157:2 (2019), 459–464
75.
L. Bukovsky, A. V. Osipov, “Selectors for dense subsets of function spaces”, Topology and its Applications, 268 (2019), 106909
76.
A. V. Osipov, “The Separability and Sequential Separability of the Space $C(X)$”, Math. Notes, 104:1 (2018), 86–95
77.
A. V. Osipov, “Uniformity of Uniform Convergence on the Family of Sets”, Topology Proceedings, 50 (2017), 79-86
78.
A. V. Osipov, “On the Multiplicativity of $CFC$-Spaces”, Math. Notes, 93:1 (2013), 158–162
79.
A. V. Osipov, “Some Properties of Minimal S(α) and S(α)FC Spaces”, Topology Proceedings, 42 (2013), 91-105
80.
A. V. Osipov, “The set-open topology”, Topology Proceedings, 37 (2011), 205-217 topology.nipissingu.ca/tp/reprints/v37/tp37013.pdf
81.
A. V. Osipov, “An example of the nonfeebly compact product of $U$-$\theta$-closed spaces”, Proc. Inst. Math. Mech., 2001no. , suppl. 2, S186–S188