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.
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.
Д. Ю. Ляховец, А. В. Осипов, “Некоторые свойства топологических ежей”, Вестник Томского государственного университета. Математика и механика, 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.
А. В. Осипов, “Различные виды тесноты на пространстве функций Бэра первого класса”, Тр. ИММ УрО РАН, 29, № 1, 2023, 160–166
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). 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
11.
A. V. Osipov, “The projectively Hurewicz property is t-invariant”, Filomat, 37:28 (2023), 9613–-9616
12.
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
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. 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
20.
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
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
22.
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
25.
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
26.
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
27.
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
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
A. V. Osipov, S. Özçag, “On the Alster, Menger and D-type covering properties”, QUAESTIONES MATHEMATICAE, 44:3 (2021), 369–377
31.
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
40.
A. V. Osipov, “On generalization of theorems of Pestryakov”, Topology and its Applications, 283 (2020), 107399
41.
A. V. Osipov, “Remarks on Ostrovsky's theorem”, Сиб. электрон. матем. изв., 16 (2019), 435–438
42.
А. В. Осипов, “О расширении Хьюитта и $\tau$-расположенности функциональных пространств”, Тр. ИММ УрО РАН, 25, № 4, 2019, 177–183
43.
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
44.
D. Lyakhovets, A. V. Osipov, “Selection Principles and Games in Bitopological Function Spaces”, Filomat, 33:14 (2019), 4535-4540
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
51.
M. A. Filatova, A. V. Osipov, “On resolvability of Lindelöf generated spaces”, Сиб. электрон. матем. изв., 15 (2018), 1260–1270
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, “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, “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
67.
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
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, “Nearly H-closed spaces”, Journal of Mathematical Sciences, 155 (2008), 624-–631 https://link.springer.com/article/10.1007/s10958-008-9234-9
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
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