Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/433

 Title: Relative Compactness for Hyperspaces Authors: Sianesi, Francesca Keywords: Hyperspaces TopologiesRelative CompactnessSup MeasuresGap Functional Issue Date: 1999 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 25, No 1, (1999), 11p-18p Abstract: The present paper contains results characterizing relatively compact subsets of the space of the closed subsets of a metrizable space, equipped with various hypertopologies. We investigate 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. URI: http://hdl.handle.net/10525/433 ISSN: 1310-6600 Appears in Collections: Volume 25 Number 1

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