Descriptive set theory: Difference between revisions

Revision as of 11:45, 30 November 2017

Revision as of 09:11, 21 February 2018

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{{short description|Subfield of mathematical logic}}

In [[mathematical logic]], '''descriptive set theory''' ('''DST''') is the study of certain classes of "[[well-behaved]]" [[set (mathematics)|subset]]s of the [[real line]] and other [[Polish space]]s. As well as being one of the primary areas of research in [[set theory]], it has applications to other areas of mathematics such as [[functional analysis]], [[ergodic theory]], the study of [[operator algebras]] and [[group actions]], and [[mathematical logic]].