This article is cited in 2 papers

MATHEMATICS

On local weak $\tau$-density of topological spaces

F. G. Mukhamadiev<sup>ab

a</sup> National University of Uzbekistan, Tashkent, Uzbekistan
^b Yeoju Technical Institute in Tashkent, Tashkent, Uzbekistan

Abstract: Questions of local weak $\tau$-density of topological spaces are studied. Sufficient conditions are found for the preservation of the property of local weak $\tau$-density of subsets of topological spaces. It is shown that a subset of a locally dense space is also locally weakly $\tau$-dense if it satisfies at least one of the following conditions: a) the subset is open in space; b) the subset is everywhere dense in space; c) the subset is canonically closed in space.

Keywords: local $\tau$-density, local weak т-density, locally compact space, Hattori spaces.

UDC: 515.12

MSC: 54B20, 54A25

Received: 22.01.2021

DOI: 10.17223/19988621/70/2

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