Geodesic
On local weak $\tau$-density of topological spaces
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 70 (2021), pp. 16-23

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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. 
@article{VTGU_2021_70_a1,
     author = {F. G. Mukhamadiev},
     title = {On local weak $\tau$-density of topological spaces},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {16--23},
     publisher = {mathdoc},
     number = {70},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2021_70_a1/}
}
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F. G. Mukhamadiev. On local weak $\tau$-density of topological spaces. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 70 (2021), pp. 16-23. http://geodesic.mathdoc.fr/item/VTGU_2021_70_a1/