Descriptive set theory examines the structure and classification of definable sets within topological spaces, with a particular focus on Polish spaces—those that are separable and completely ...

Mathematicians and computer scientists answered major questions in topology, set theory and even physics, even as computers continued to grow more capable. Mathematicians and computer scientists had ...

By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far ...

Topological physics is a major research topic in modern science. The discovery of topological phases of matter has revolutionized how researchers think about electronic, photonic, and acoustic ...