%0 Book
%T On a nice embedding and the Ascoli theorem
%A Bartsch, René
%S Preprints aus dem Institut für Mathematik
%D 2003
%C Germany; Rostock
%G English
%F 1987412443
%O René Bartsch
%X 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.<eng>
%L 510
%9 Text
%R 10.18453/rosdok_id00005910
%U https://purl.uni-rostock.de/rosdok/id00005910
%U https://doi.org/10.18453/rosdok_id00005910