In mathematical logic, descriptive set theory 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.
Read more about Descriptive Set Theory: Polish Spaces, Borel Sets, Analytic and Coanalytic Sets, Projective Sets and Wadge Degrees, Borel Equivalence Relations, Effective Descriptive Set Theory
Famous quotes containing the words set and/or theory:
“I think it better that in times like these
A poets mouth be silent, for in truth
We have no gift to set a statesman right.”
—William Butler Yeats (18651939)
“The great tragedy of sciencethe slaying of a beautiful theory by an ugly fact.”
—Thomas Henry Huxley (18251895)