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About: Finite intersection property     Goto   Sponge   NotDistinct   Permalink

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Type: Thingyago:WikicatSetFamiliesyago:Abstraction100002137yago:Family108078020yago:Group100031264yago:Organization108008335yago:YagoLegalActoryago:YagoLegalActorGeoyago:YagoPermanentlyLocatedEntityyago:SocialGroup107950920yago:Unit108189659 New Facet based on Instances of this Class

In general topology, a branch of mathematics, a non-empty family A of subsets of a set is said to have the finite intersection property (FIP) if the intersection over any finite subcollection of is non-empty. It has the strong finite intersection property (SFIP) if the intersection over any finite subcollection of is infinite. Sets with the finite intersection property are also called centered systems and filter subbases.