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Additional
descriptive set theory
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Descriptive set theory
In
mathematical logic
,
descriptive set theory
is the study of certain classes of "
well-behaved
"
subset
s 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
.
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