On a nice embedding and the Ascoli theorem Bartsch, René , 1970- (VerfasserIn) Text Text 2003 2003 eng electronic resourceremoteComputermedienOnline-Ressource1 Online-Ressource (19 Seiten) 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> Open Access Urheberrechtsschutz 1.0 René Bartsch 510 https://purl.uni-rostock.de/rosdok/id00005910 On a nice embedding and the ascoli theorem--(DE-627)364422319 urn:nbn:de:gbv:28-rosdok_id00005910-4 doi: 10.18453/rosdok_id00005910 oclc: 1622258693 ppn: (DE-627)1987412443