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.

We have been recounting the development of descriptive set theory on the real numbers, but it is obvious that the basic notions are topological in nature and can be formulated in the context of …

This gave rise to descriptive set theory, a systematic study of classes of sets where these pathologies can be avoided, including, in particular, the definable sets.

This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in …

Aug 21, 2024 · et of reals vs reals in the set. For example, if {x} ⊆ ωω has a simple definition as a subset of ωω, does x necessarily have a simple definit on as a function from ω → ω. Here is a …

Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by …

Mar 26, 2023 · Descriptive set theory The branch of set theory whose subject is the study of sets in dependence of those operations by which these sets may be constructed from relatively …

Nov 4, 2025 · Weisstein, Eric W. "Descriptive Set Theory." From MathWorld --A Wolfram Resource. https://mathworld.wolfram.com/DescriptiveSetTheory.html. The study of definable …

Introduction to Descriptive Set Theory 1.1 The Plan for the Course April 20, 2023 What is descriptive set theory, and why study it?

This gave rise to descriptive set theory, a systematic study of classes of sets where these pathologies can be avoided, including, in particular, the de nable sets.