Geodesic
Local $\tau$-density and local weak $\tau$-density in topological spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 474-478 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article considers locally compact, metrizable, and linearly ordered spaces. In these spaces, the concepts of local $\tau$-density and local weak $\tau$-density are considered. It is shown that in locally compact, metrizable, and linearly ordered spaces the concepts of local $\tau$-density and local weak $\tau$-density coincide. It is proved that a locally weakly $\tau$-dense subset of a compact set with the first axiom of countability is locally $\tau$-dense.
Keywords: local $\tau$-density, local weak $\tau$-density, locally compact space, metrizable space, linearly ordered space. 
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T. K. Yuldashev; F. G. Mukhamadiev. Local $\tau$-density and local weak $\tau$-density in topological spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 474-478. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a12/

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