On homotopically dense subspaces of the space of complete linked systems
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 fo...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2023-10-01
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| Series: | Вестник Самарского университета: Естественнонаучная серия |
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| Online Access: | https://journals.ssau.ru/est/article/viewFile/27047/10224 |
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| _version_ | 1849730703008202752 |
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| author | Mikhail V. Dolgopov Qamariddin R. Zhuvonov |
| author_facet | Mikhail V. Dolgopov Qamariddin R. Zhuvonov |
| author_sort | Mikhail V. Dolgopov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0ed2239cd0a64546bca95a96e800e8b0 |
| institution | DOAJ |
| issn | 2541-7525 2712-8954 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Вестник Самарского университета: Естественнонаучная серия |
| spelling | doaj-art-0ed2239cd0a64546bca95a96e800e8b02025-08-20T03:08:47ZengSamara National Research UniversityВестник Самарского университета: Естественнонаучная серия2541-75252712-89542023-10-01293243010.18287/2541-7525-2023-29-3-24-308780On homotopically dense subspaces of the space of complete linked systemsMikhail V. Dolgopov0https://orcid.org/0000-0002-8725-7831Qamariddin R. Zhuvonov1https://orcid.org/0009-0008-7561-0862Samara State Technical UniversityTashkent National Research University "Tashkent Institute of Irrigation and Agricultural Mechanization Engineers"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.https://journals.ssau.ru/est/article/viewFile/27047/10224subspacetopological properties of a setgeometric properties of a settopological varietyhomotopy dense subspacemetrizable non-degenerate continuumfinite-dimensional sethilbert cube |
| spellingShingle | Mikhail V. Dolgopov Qamariddin R. Zhuvonov On homotopically dense subspaces of the space of complete linked systems Вестник Самарского университета: Естественнонаучная серия 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 |
| title | On homotopically dense subspaces of the space of complete linked systems |
| title_full | On homotopically dense subspaces of the space of complete linked systems |
| title_fullStr | On homotopically dense subspaces of the space of complete linked systems |
| title_full_unstemmed | On homotopically dense subspaces of the space of complete linked systems |
| title_short | On homotopically dense subspaces of the space of complete linked systems |
| title_sort | on homotopically dense subspaces of the space of complete linked systems |
| topic | 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 |
| url | https://journals.ssau.ru/est/article/viewFile/27047/10224 |
| work_keys_str_mv | AT mikhailvdolgopov onhomotopicallydensesubspacesofthespaceofcompletelinkedsystems AT qamariddinrzhuvonov onhomotopicallydensesubspacesofthespaceofcompletelinkedsystems |