Scientific Bulletin of Namangan State University


This note discusses covariant functors of compact sets acting on the category that preserve the shapes of infinite compacts, -systems, moving compacts, shape-equivalent, homotopy equivalence, and properties of compacts.

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1. E.V.SHepin Funktori i neschetnie stepeni kompaktov. Uspex. Mat. Nauk , 1981, T.36, vыp. 3, s. 3-62. 2. T.F.Zhuraev On projectively quotient functors. Comment. Math. Univ. Carolinae, 2001, V-42, №3. 3.K. Borsuk Teoriya sheypov. M. Mir, 1976, r.187 4.S.Mardesic, J.Segal Shapes of compacta and ANR-systems. Fund. Math. LXXII, 1971, pp 41-59. 5.V.N. Basmanov Kovariantnie funktori, retrakti i razmernost. DAN SSSR, 1983, T 271, №5, s 1033-1036. 6.S.Mardesic, J.Segal Equivalence of the Borsuk and the ANR-system approach to shapes. Fund. Math. LXXII, 1971, pp. 61-66. 7.P. Mrozik Hereditary shape equivalences and complement theorems Top. Appl. 22.1986, №1, pp 131-137.





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