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 set it down as a fact that if all men knew what each said of the other, there would not be four friends in the world.”
—Blaise Pascal (1623–1662)
“Thus the theory of description matters most.
It is the theory of the word for those
For whom the word is the making of the world,
The buzzing world and lisping firmament.”
—Wallace Stevens (1879–1955)