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Uniformizability of the generalized compact-open topology

In: Tatra Mountains Mathematical Publications, vol. 14, no. 1
Ľubica Holá
Detaily:
Rok, strany: 1998, 219 - 224
O článku:
Let $X$ and $Y$ be Hausdorff topological spaces. Let$P$ be the family of all partial maps from $X$ to $Y$; a partial map is a pair $(B,f)$, where $B\inCL(X)$ (= the family of all nonempty closed subsets of $X$) and $f$ is a continuous function from $B$ to $Y$. We show that if $X$ and $Y$ are Tychonoff spaces and $X$ locally compact, then the generalized compact-open topology $τC$ on $P$ is also a Tychonoff space. Moreover we find a useful description of a compatible uniformity for $(PC)$.
Ako citovať:
ISO 690:
Holá, Ľ. 1998. Uniformizability of the generalized compact-open topology. In Tatra Mountains Mathematical Publications, vol. 14, no.1, pp. 219-224. 1210-3195.

APA:
Holá, Ľ. (1998). Uniformizability of the generalized compact-open topology. Tatra Mountains Mathematical Publications, 14(1), 219-224. 1210-3195.