Variations on Kuratowski's 14-set theorem

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dc.creatorSherman, David
dc.date2004-05-21
dc.date.accessioned2026-07-07T06:36:47Z
dc.date.available2026-07-07T06:36:47Z
dc.descriptionKuratowski's 14-set theorem says that in a topological space, 14 is the maximum possible number of distinct sets which can be generated from a fixed set by taking closures and complements. In this article we consider the analogous questions for any possible subcollection of the operations {closure, complement, interior, intersection, union}, and any number of initially given sets. We use the algebraic "topological calculus" to full advantage.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0405401
dc.identifierhttp://arxiv.org/abs/math/0405401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100203
dc.subjectGeneral Topology
dc.subjectMathematical Physics
dc.subject54A05; 06F05
dc.titleVariations on Kuratowski's 14-set theorem
dc.typetext

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