Latest Articles for Set Theory

Explore the KKM theorem and its impact on various mathematical fields.

This article examines infinite cliques and their relationship with graph properties.

A look into important properties of sets in mathematics.

A simple guide to well-filtered dcpos and their properties.

Exploring winning strategies in mathematical games involving linear orders and sets.

An exploration of reducibility and its significance in mathematical structures.

An overview of metric surfaces and the concept of removable sets in geometry.

This article discusses how small extensions relate to degrees of computation.

A method to build models that satisfy determinacy and regularity in set theory.

Explore the role of equivalence relations in various mathematical fields.

Explore the significance of irreducible ideals in the structure of monoids.

A look into the structure and applications of countable Borel equivalence relations in mathematics.

A look into simply rooted families and their connection to cubical sets.

A look into the challenges of finding cardinal preserving elementary embeddings in set theory.

Explore the significance of Scott rank in separable metric structures.

Explore the basic ideas behind Friedman's Property in mathematics.

Learn how coupling transforms the study of matroids and their applications.

A look into the arithmetic regularity lemma and its limits.

Exploring the relationship between infinite rings and their unique commuting graphs.

An overview of pseudofinite structures and their significance in mathematical research.

Discover the fascinating world of Borel graphs and their complexities.

Discover how compact spaces and lattices interact in mathematics.

A look into the structure and significance of generalized snake posets in mathematics.

Explore the fascinating world of transversal structures and their significance in graph theory.

Explore the intriguing world of weakly convex and weakly semiconvex sets in mathematics.

Discover the fascinating structure behind countable Borel equivalence relations in mathematics.

Mathematicians explore the mystery of union-closed set families and their beloved toys.

A journey through the world of set theory and measurable cardinals.

Exploring Gödel's impact on set theory and the quest for mathematical truth.

A simple overview of ideals and their significance in mathematics.

Rough sets simplify uncertainty in data analysis, revealing connections within complex information.

A look into the fascinating structures of q-matroids and their properties.

Explore the fascinating world of distances in compact sets.

Exploring the conjecture around union-closed families of sets and their hidden elements.

Learn how a new method simplifies complex set differences.

Learn the basics of cover spaces and their significance in mathematics.