SOME RETRACTIONS OF n-FOLD SYMMETRIC PRODUCT OF THE SPACE X
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Ushbu maqolada biz X fazoning n-darajali simmetrik ko’paytma fazosining ba’zi retraktlik
xossalarini o’rganamiz. Agar A to’plam X fazo uchun retrakt bo’lsa, u holda unga mos F n (A) to’plam
ham F n (X) fazo uchun retrakt bo’lishi isbotlangan. Bundan tashqari, agar A to’plam X fazo uchun
kuchsiz retrakt bo’lsa, u holda unga mos F n (A) to’plam ham F n (X) fazo uchun kuchsiz retrakt
ekanligi ko’rsatilgan. Shu bilan birga, agar A to’plam X fazo uchun deformatsion retrakt bo’lsa, u
holda unga mos F n (A) to’plam ham F n (X) fazo uchun deformatsion retrakt ekanligi isbotlangan.
1. Beshimov R. B., Safarova D. T. Some Topological Properties of a Functor of Finite Degree. Lobachevskii
of Journal Mathematics, 2021, V.42, P.2744–2753.
2. Beshimov R. B., Safarova D. T. Uniformly linked space and its hyperspace. AIP Conference Proceedings,
2024, V.3004(1), P.020003.
3. Koˇ cinac Lj. D. R., Mukhamadiev F. G., Sadullaev A. K. On some properties of the superextension functor.
Herald of Institute Mathematics of the National Academy of Sciences of the Kyrgyz Republic, 2022, V.2,
P.5–18.
4. Koˇ cinac Lj. D. R., Mukhamadiev F. G., Sadullaev A. K. On the superextension functor. AIP Conference
Proceedings, 2023, V.2879(1), P.020004.
5. Koˇ cinac Lj. D. R., Mukhamadiev F. G., Sadullaev A. K. Some Cardinal and Geometric Properties of the
Space of Permutation Degree. Axioms, 2022, V.11(6), P.290.
6. Mukhamadiev F. G. Some homotopy properties of the space of complete linked systems. Selected papers
of the 2023 International Conference on Topology and its Applications. In press.
7. Fedorchuk V. V., Filippov V. V. opology of Hyperspaces and Its Applications. Znanie: Moscow, Russia,
1989. (In Russian)
8. Shchepin E. V. Functors and uncountable powers of compacta. Math. Surveys. 1981, V.36:3, P.1–7.
9. Good C., Macias S. Symmetric products of generalized metric spaces. Topology Appl. 2016, V.206, P.93–
114.
10. Tuyen L. Q., Tuyen O. V., Koˇ cinac Lj. D. R. The Vietoris hyperspace F(X) and certain generalized metric
properties. Hacettepe Journal of Mathematics and Statistics, 2024, V.53(2), P.356–366.
11. Tang Z., Lin S., Lin F. Symmetric products and closed finite-to-one mappings. Topology and its
Applications, 2018, V.234, P.6–45.
12. Peng L. X., Sun Y. A study on symmetric products of generalized metric spaces. Topology and its
Applications, 2017, V.231, P.411–429.
13. Tuyen L. Q., Tuyen O. V. A note on the hyperspace of finite subsets. Fasciculi Math. 2021, V.65, P.67–73.
14. Yuldashev T. K., Mukhamadiev F. G. The local density and the local weak density in the space of
permutation degree and in Hattori space. Ural Mathematical Journal, 2020, V.6(2), P.108–116.
15. Kosniowski C. A First Course in Algebraic Topology. Cambridge University Press, 1980.
16. Munkres J. Topology, Secomnd ed. Pearson Education Limited, Edinburgh, 2014.
17. Mukhamadiev F. G., Meyliev Sh. U. Some homotopy properties of n−fold symmetric product of the space
X. ACTA NUUz, 2025, V.2(1.1), P.88–91.
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