A Categorical Construction of Ultrafilters release_jtzky4fp4rdsrptlpmf3ksxpga

by Daniel Litt, Zachary Abel, Scott D. Kominers

Released as a article .

2009  

Abstract

Ultrafilters 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.
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Date   2009-05-13
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arXiv  0710.2497v2
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