Geodesic
On homotopically dense subspaces of the space of complete linked systems
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 29 (2023) no. 3, pp. 24-30

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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. 
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     author = {M. V. Dolgopolov and K. R. Zhuvonov},
     title = {On homotopically dense subspaces of the space of complete linked systems},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {24--30},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2023_29_3_a3/}
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M. V. Dolgopolov; K. R. Zhuvonov. On homotopically dense subspaces of the space of complete linked systems. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 29 (2023) no. 3, pp. 24-30. http://geodesic.mathdoc.fr/item/VSGU_2023_29_3_a3/