Abstract

NEIRA, CLARA M.. The Kuratowski-Mrówka characterization and weak forms of compactness. Rev.colomb.mat. [online]. 2009, vol.43, n.1, pp.9-17. ISSN 0034-7426.

For cardinals κ>\aleph₀, characterizations of the Kuratowski-Mrówka type of initial κ-compactness and final κ-compactness are given. Moreover, a categorical characterization of κ-compactness is given in terms of a closure operator depending on an ultrafilter over κ.

Keywords : Kuratowski-Mrówka characterization of compact spaces; closure operator; weak form of compactness.

        · abstract in Spanish     · text in English     · English ( pdf )