A Categorical Construction of Ultrafilters

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dc.creatorLitt, Daniel
dc.creatorAbel, Zachary
dc.creatorKominers, Scott D.
dc.date2007-10-12
dc.date2009-05-13
dc.date.accessioned2026-07-07T13:13:49Z
dc.date.available2026-07-07T13:13:49Z
dc.descriptionUltrafilters are useful mathematical objects having applications in nonstandard analysis, Ramsey theory, Boolean algebra, topology, and other areas of mathematics. In this note, we provide a categorical construction of ultrafilters in terms of the inverse limit of an inverse family of finite partitions; this is an elementary and intuitive presentation of a consequence of the profiniteness of Stone spaces. We then apply this construction to answer a question of Rosinger posed in arXiv:0709.0084v2 in the negative.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0710.2497
dc.identifierhttp://arxiv.org/abs/0710.2497
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230014
dc.subjectCategory Theory
dc.subjectGeneral Mathematics
dc.subjectGeneral Topology
dc.subject54D80 (Primary); 16B50 (Secondary)
dc.titleA Categorical Construction of Ultrafilters
dc.typetext

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