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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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