×VerfasserIn
	0009-0009-2471-2874
	124205445

René Bartsch

On a nice embedding and the Ascoli theorem

University of Rostock, Institute of Mathematics, 2003

https://doi.org/10.18453/rosdok_id00005910

Abstract: Besides some remarks on hit-and-miss hyperspaces and (relative) compactness of unions of (relative) compact sets, and using these together with a natural map from a function space between topological spaces into a function space between their Vietoris hyperspaces, we derive Ascoli-like theorems for some set-open topologies, nearly related to the compact-open, and mainly for the compact-open topology itself. Some Ascoli-like statements are given, where all requirements are focused on the set of functions, whose (relative) compactness is in question, not on the base spaces.

working paper   free access