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- W1606345540 abstract "A Cech closure space $(X,u)$ is a set $X$ with a (Cech) closure operator $u$ which need not be idempotent. Many properties which hold in topological spaces hold in Cech closure spaces as well. The notions of proper (splitting) and admissible (jointly continuous) topologies are introduced on the sets of continuous functions between Cech closure spaces. It is shown that some well-known results of Arens and Dugundji and of Iliadis and Papadopoulos are true in this setting. We emphasize that Theorems 1--10 encompass the results of A. di Concilio and of Georgiou and Papadopoulos for the spaces of continuous-like functions as $theta$-continuous, strongly and weakly $theta$-continuous, weakly and super-continuous." @default.
- W1606345540 created "2016-06-24" @default.
- W1606345540 creator A5072227848 @default.
- W1606345540 date "2002-04-10" @default.
- W1606345540 modified "2023-09-27" @default.
- W1606345540 title "Proper and admissible topologies in the setting of closure spaces" @default.
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- W1606345540 hasPublicationYear "2002" @default.
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