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Subcontinuity

In: Mathematica Slovaca, vol. 62, no. 2
Ľ. Holá - Branislav Novotný
Detaily:
Rok, strany: 2012, 345 - 362
Kľúčové slová:
subcontinuous, locally totally bounded, USCO multifunction, Vietoris topology, Hausdorff uniformity, Čech complete space
O článku:
We give interesting characterizations using subcontinuity. Let $X$, $Y$ be topological spaces. We study subcontinuity of multifunctions from $X$ to $Y$ and its relations to local compactness, local total boundedness and upper semicontinuity. If $Y$ is regular, then $F$ is subcontinuous iff $\overline F$ is USCO. A uniform space $Y$ is complete iff for every topological space $X$ and for every net $\{Fa\}$, $Fa\subset X× Y$, of multifunctions subcontinuous at $x \in X$, uniformly convergent to $F$, $F$ is subcontinuous at $x$. A Tychonoff space $Y$ is
Ako citovať:
ISO 690:
Holá, Ľ., Novotný, B. 2012. Subcontinuity. In Mathematica Slovaca, vol. 62, no.2, pp. 345-362. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0013-1

APA:
Holá, Ľ., Novotný, B. (2012). Subcontinuity. Mathematica Slovaca, 62(2), 345-362. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0013-1
O vydaní:
Publikované: 1. 4. 2012