Relative Compactness for Hyperspaces
Summary: The paper contains results characterizing relatively compact subsets of the space of the closed subsets of a metrizable space, equipped with various hypertopologies. The author investigates the hyperspace topologies that admit a representation as weak topologies generated by families of gap functionals defined on closed sets, as well as hit-and-miss topologies and proximal-hit-and-miss topologies.
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
Hyperspaces Topologies, Sup Measures, gap functional, hyperspace topologies, relative compactness, Relative Compactness, Hyperspaces in general topology, Gap Functional, sup measures
Hyperspaces Topologies, Sup Measures, gap functional, hyperspace topologies, relative compactness, Relative Compactness, Hyperspaces in general topology, Gap Functional, sup measures
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