Descriptive set theory | Wikipedia audio article

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00:00:32 1 Polish spaces
00:01:37 1.1 Universality properties
00:03:00 2 Borel sets
00:04:35 2.1 Borel hierarchy
00:11:36 2.2 Regularity properties of Borel sets
00:12:15 3 Analytic and coanalytic sets
00:12:54 4 Projective sets and Wadge degrees
00:18:01 5 Borel equivalence relations
00:18:38 6 Effective descriptive set theory
00:19:29 7 Table
00:19:38 8 See also



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SUMMARY
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In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces. 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.