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Ultratopologies generated by generalized topologies

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Summary

It is proved a rather general version of the statement that if the union of arbitrary elements of a system λ always belongs to λ then the intersections of elements of λ constitute an ultratopology (i.e. a topology where intersections of open sets are open).

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Authors and Affiliations

  1. Analízis Tanszék, Eötvös Loránd University, Department of Analysis, Pázmány Péter sétány 1/c H-1117 Budapest, Pázmány P. Sétány 1/C, Hungary, HU–1117, Budapest

    Ákos Császár

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  1. Ákos Császár
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Császár, Á. Ultratopologies generated by generalized topologies. Acta Math Hung 110, 153–157 (2006). https://doi.org/10.1007/s10474-006-0011-2

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  • DOI: https://doi.org/10.1007/s10474-006-0011-2

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