Advanced Topology and Set Theory

Advanced Topology and Set Theory is a research topic within Geometry and Topology. Science Explorer counts 20k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers covers topics in model theory, topological dynamics, and their applications to homogeneous structures, o-minimal structures, large cardinals, and forcing axioms. It explores the interactions between abstract elementary classes, definable sets, and automorphism groups, with connections to Ramsey theory and the structure of compact groups.

• Model Theory
• Topological Dynamics
• Homogeneous Structures
• O-Minimal Structures
• Large Cardinals
• Forcing Axioms
• Abstract Elementary Classes
• Definable Sets
• Automorphism Groups
• Ramsey Theory