@Book{1987412443, author="Bartsch, Ren{\'e}", title="On a nice embedding and the Ascoli theorem", series="Preprints aus dem Institut f{\"u}r Mathematik", year="2003", address="Germany; Rostock", 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.", note="Ren{\'e} Bartsch", doi="10.18453/rosdok_id00005910", url="https://purl.uni-rostock.de/rosdok/id00005910", url="https://doi.org/10.18453/rosdok_id00005910", language="English" }