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:
“The time is out of joint. O cursèd spite
That ever I was born to set it right!”
—William Shakespeare (1564–1616)
“It is not enough for theory to describe and analyse, it must itself be an event in the universe it describes. In order to do this theory must partake of and become the acceleration of this logic. It must tear itself from all referents and take pride only in the future. Theory must operate on time at the cost of a deliberate distortion of present reality.”
—Jean Baudrillard (b. 1929)