Geodesic
On local density and local weak density of the hyperspace of sets with finitely many components
Filomat, Tome 37 (2023) no. 14, p. 4659

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DOI

This paper is devoted to the investigation of cardinal invariants such as the local density, the local weak density and the relation between the tightness of the space C n (X) of closed sets with finitely many components and the density of a topological space itself. Moreover, it is shown that the functor C n : Comp → Comp preserves the local density and the local weak density of compact spaces. As a result, criteria for locally separability and locally weakly separability of compact spaces are obtained.
DOI : 10.2298/FIL2314659B
Classification : 54A25, 54B20
Keywords: Density, tightness, weak density, local density, local weak density, normal functor, hyperspace 
R B Beshimov; D N Georgiou; N K Mamadaliev; F Sereti. On local density and local weak density of the hyperspace of sets with finitely many components. Filomat, Tome 37 (2023) no. 14, p. 4659 . doi: 10.2298/FIL2314659B
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     title = {On local density and local weak density of the hyperspace of sets with finitely many components},
     journal = {Filomat},
     pages = {4659 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314659B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314659B/}
}
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