TY  - BOOK
AU  - Bartsch, René
PY  - 2003
DA  - 2003//
TI  - On a nice embedding and the Ascoli theorem
T3  - Preprints aus dem Institut für Mathematik
CY  - Germany; Rostock
AB  - 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>
UR  - https://purl.uni-rostock.de/rosdok/id00005910
UR  - https://doi.org/10.18453/rosdok_id00005910
DO  - 10.18453/rosdok_id00005910
LA  - English
N1  - René Bartsch
ID  - 1987412443
ER  -