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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2023, Volume 29, Issue 3, Pages 24–30
DOI: https://doi.org/10.18287/2541-7525-2023-29-3-24-30 (Mi vsgu708) 		 
Mathematics

On homotopically dense subspaces of the space of complete linked systems

M. V. Dolgopolova, K. R. Zhuvonovb

a Samara State Technical University, Samara, Russian Federation
b Tashkent National Research University "Tashkent Institute of Irrigation and Agricultural Mechanization Engineers" , Tashkent, Uzbekistan
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DOI: https://doi.org/10.18287/2541-7525-2023-29-3-24-30
Abstract: This article discusses the topological and geometric properties of the set of coupled systems and the properties of its subspaces that are homotopically dense. Theorems for a metrizable nondegenerate continuum are presented, conditions for a homotopically dense set of a compact set and conditions for determining a manifold for a finite-dimensional set depending on the fact that it does not contain a Hilbert cube are determined.
Keywords: subspace, topological properties of a set, geometric properties of a set, topological variety, homotopy dense subspace, metrizable non-degenerate continuum, finite-dimensional set, Hilbert cube.
Received: 19.07.2023
Revised: 21.08.2023
Accepted: 30.10.2023
Document Type: Article
UDC: 512.6
Language: Russian
Citation: M. V. Dolgopolov, K. R. Zhuvonov, “On homotopically dense subspaces of the space of complete linked systems”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:3 (2023), 24–30
Citation in format AMSBIB
\Bibitem{DolZhu23}
\by M.~V.~Dolgopolov, K.~R.~Zhuvonov
\paper On homotopically dense subspaces of the space of complete linked systems
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2023
\vol 29
\issue 3
\pages 24--30
\mathnet{http://mi.mathnet.ru/vsgu708}
\crossref{https://doi.org/10.18287/2541-7525-2023-29-3-24-30}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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