A short note on hit-and-miss hyperspaces

René Bartsch; Harry Poppe

doi:10.4995/agt.2003.2033

Authors

René Bartsch Rostock University
Harry Poppe Rostock University

DOI:

https://doi.org/10.4995/agt.2003.2033

Keywords:

Hit-and-miss topology, Compactness, Relative completeness, Relative compact unions, Upper Vietoris topology

Abstract

Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “κ-Lindelöfness” and “κ-compactness” for cardinals κ. To focus only hit-and-miss structures, could look quite old-fashioned, but some importance, at least for the techniques, is given by a recent result, [8], of Som Naimpally, to who this article is hearty dedicated.

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Author Biographies

René Bartsch, Rostock University

Dept. of Computer Science

Harry Poppe, Rostock University

Dept. of Mathematics

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