weakly density of topological spaces; Tychonov product; compactification; continuouse images; hyperspace; cellularity of topological spaces.
Subject:
Introduced notion a weak density of topological spaces. Some topological properties — Suslin number, continuous images, compactifications, topological products and hyperspaces are investigated. Also introduced notion density and weak density of continuous mappings and topological property are investigated.
Biography
Graduated from Faculty of Mathematics of Nizami Tashkent Pedagogical Institute in 1979. Ph. D. thesis was defended in 1994. A list of my works contains more than 15 titles.
Main publications:
Beshimov R. B. Slabaya plotnost i giperprostranstvo // Uz. matem. zhurn., 2000, 4, 3–8.
Beshimov R. B. O slaboi plotnosti topologicheskikh prostranstv // Dokl. AN Uz., 2000, 11, 10–13.
Beshimov R. B. O slaboi plotnosti nepreryvnykh oobrazhenii // Uz. matem. zhurn., 2001, 1, 3–8.
R. B. Beshimov, R. M. Juraev, “Cardinal and topological properties of the space of symmetric degree”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 201 (2021), 107–122
2.
R. B. Beshimov, D. T. Safarova, “Uniform space and its hyperspace”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 197 (2021), 108–116
3.
R. B. Beshimov, R. M. Juraev, “Topological properties of the space of $G$-symmetric degree”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 197 (2021), 78–87
2018
4.
R. B. Beshimov, N. K. Mamadaliev, Sh. Kh. Eshtemirova, “Categorical and Cardinal Properties of Hyperspaces with a Finite Number of Components”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144 (2018), 96–103; Journal of Mathematical Sciences, 245:3 (2020), 390–397
R. B. Beshimov, “Nonincrease of Density and Weak Density under Weakly Normal Functors”, Mat. Zametki, 84:4 (2008), 527–531; Math. Notes, 84:4 (2008), 493–497
R. B. Beshimov, “A Categorical Property of the Stone–Čech Compactification”, Mat. Tr., 10:1 (2007), 132–140; Siberian Adv. Math., 17:4 (2007), 291–296
2004
7.
R. B. Beshimov, “Some properties of the functor $O_\beta$”, Zap. Nauchn. Sem. POMI, 313 (2004), 131–134; J. Math. Sci. (N. Y.), 133:5 (2006), 1599–1601
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