топологическая алгебра, функциональный анализ, дескриптивная теория множеств, теория меры, бесконечно-комбинаторная топология
Основные публикации:
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.
С. Э. Нохрин, А. В. Осипов, “К вопросу о совпадении множественно-открытой и равномерной топологий”, Тр. ИММ УрО РАН, 15, № 2, 2009, 177–184; 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
A. V. Osipov, “Application of selection principles in the study of the properties of function spaces”, ACTA MATHEMATICA HUNGARICA, 154:2 (2018), 362–377
В. И. Белугин, А. В. Осипов, Е. Г. Пыткеев, “О классах субкомпактных пространств”, Матем. заметки, 109:6 (2021), 810–820; V. I. Belugin, A. V. Osipov, E. G. Pytkeev, “On Classes of Subcompact Spaces”, Math. Notes, 109:6 (2021), 849–858
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
В. И. Белугин, А. В. Осипов, Е. Г. Пыткеев, “О некоторых свойствах субкомпактных пространств”, Матем. заметки, 111:2 (2022), 188–201; V. I. Belugin, A. V. Osipov, E. G. Pytkeev, “Some Properties of Subcompact Spaces”, Math. Notes, 111:2 (2022), 193–203
А. В. Осипов, Е. Г. Пыткеев, “Решение проблемы Пономарёва об уплотнении на компакты”, Сиб. матем. журн., 62:1 (2021), 164–172; A. V. Osipov, E. G. Pytkeev, “Solution of Ponomarev's problem of condensation onto compact sets”, Siberian Math. J., 62:1 (2021), 131–137
В. И. Белугин, А. В. Осипов, Е. Г. Пыткеев, “О свойствах подклассов слабо диадических компактов”, Сиб. матем. журн., 63:6 (2022), 1204–1212; 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
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
А. В. Осипов, “Сепарабельность и секвенциальная сепарабельность пространства $C(X)$”, Матем. заметки, 104:1 (2018), 87–98; A. V. Osipov, “The Separability and Sequential Separability of the Space $C(X)$”, Math. Notes, 104:1 (2018), 86–95
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
А. В. Осипов, Е. Г. Пыткеев, “О $\sigma$-счетной компактности пространств непрерывных функций, наделенных множественно-открытой топологией”, Тр. ИММ УрО РАН, 19, № 3, 2013, 251–260; 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
А. В. Осипов, “Различные виды замкнутости в $S(n)$-пространствах”, Асимптотические разложения. Теория приближений. Топология, Сборник статей, Тр. ИММ УрО РАН, 9, № 1, 2003, 131–136; A. V. Osipov, “Different kinds of closedness in $S(n)$-spaces”, Proc. Inst. Math. Mech., 2003no. , suppl. 1, S155–S160
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
53.
Д. Ю. Ляховец, А. В. Осипов, “Некоторые свойства топологических ежей”, Вестник Томского государственного университета. Математика и механика, 88 (2024), 37–52
54.
A. V. Osipov, K. Kazachenko, “Author Correction: Joint continuity in semitopological monoids and semilattices”, Semigroup Forum, 108 (2024), 272–-273
55.
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
56.
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
57.
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
58.
A. V. Osipov, “Velichko's notions close to sequential separability and their hereditary variants in Cp-theory”, Topology and its Applications, 2024, 109076
59.
А. В. Осипов, “Различные виды тесноты на пространстве функций Бэра первого класса”, Тр. ИММ УрО РАН, 29, № 1, 2023, 160–166
60.
A. V. Osipov, “Selection principles and bitopological hyperspaces”, Applied General Topology, 24:1 (2023), 1–8
61.
A. V. Osipov, “The projectively Hurewicz property is t-invariant”, Filomat, 37:28 (2023), 9613–-9616
62.
M Bhardwaj, A. V. Osipov, “Some observations on a clopen version of the Rothberger property”, Cubo, 25:2 (2023), 161–-172
63.
A. V. Osipov, “On embedding of F-hedgehogs in function spaces”, Publications de l'Institut Mathematique, 114:128 (2023), 9–17
64.
А. Е. Липин, А. В. Осипов, “Об уплотнениях на $\sigma$-компактные пространства”, Докл. РАН. Матем., информ., проц. упр., 506 (2022), 57–61; A. E. Lipin, A. V. Osipov, “On condensations onto $\sigma$-compact spaces”, Dokl. Math., 106:2 (2022), 351–355
65.
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
66.
M Bhardwaj, A. V. Osipov, “Rothberger property and related games”, PUBLICATIONES MATHEMATICAE DEBRECEN, 101:1-2 (2022), 1-14
67.
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
68.
А. В. Осипов, “О квазинормальной сходимости функций”, Матем. заметки, 109:1 (2021), 129–134; A. V. Osipov, “On the Quasinormal Convergence of Functions”, Math. Notes, 109:1 (2021), 120–124
69.
A. V. Osipov, S. Özçag, “On the Alster, Menger and D-type covering properties”, QUAESTIONES MATHEMATICAE, 44:3 (2021), 369–377
70.
S. Clontz, A. V. Osipov, “On Ramsey Properties, Function Spaces, and Topological Games”, Filomat, 34:7 (2020), 2377–2386
71.
A. V. Osipov, “Indestructibly productively Lindelof and Menger function spaces”, Topology and its Applications, 281 (2020), 107202
72.
A. V. Osipov, “On generalization of theorems of Pestryakov”, Topology and its Applications, 283 (2020), 107399
73.
A. V. Osipov, “Remarks on Ostrovsky's theorem”, Сиб. электрон. матем. изв., 16 (2019), 435–438
74.
А. В. Осипов, “О расширении Хьюитта и $\tau$-расположенности функциональных пространств”, Тр. ИММ УрО РАН, 25, № 4, 2019, 177–183
75.
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
76.
A. V. Osipov, E. G. Pytkeev, “On some properties of the space of upper semicontinuous functions”, ACTA MATHEMATICA HUNGARICA, 157:2 (2019), 459–464
77.
L. Bukovsky, A. V. Osipov, “Selectors for dense subsets of function spaces”, Topology and its Applications, 268 (2019), 106909
78.
A. V. Osipov, “Uniformity of Uniform Convergence on the Family of Sets”, Topology Proceedings, 50 (2017), 79-86
79.
А. В. Осипов, “О мультипликативности $CFC$-пространств”, Матем. заметки, 93:1 (2013), 111–116; A. V. Osipov, “On the Multiplicativity of $CFC$-Spaces”, Math. Notes, 93:1 (2013), 158–162
80.
A. V. Osipov, “Some Properties of Minimal S(α) and S(α)FC Spaces”, Topology Proceedings, 42 (2013), 91-105
81.
A. V. Osipov, “The set-open topology”, Topology Proceedings, 37 (2011), 205-217 topology.nipissingu.ca/tp/reprints/v37/tp37013.pdf
82.
А. В. Осипов, “Пример не $f$-компактного произведения $U$-$\theta$-замкнутых пространств”, Алгебра. Топология, Сборник статей, Тр. ИММ УрО РАН, 7, № 2, 2001, 225–227; A. V. Osipov, “An example of the nonfeebly compact product of $U$-$\theta$-closed spaces”, Proc. Inst. Math. Mech., 2001no. , suppl. 2, S186–S188