Latest Articles for Set Theory

Examining the role of forcing techniques in set theory.

Examining how groups interact with sets and their essential properties.

Exploring the implications of fractional measures in mathematics.

Explore the concept of ideals and their impact on various mathematical fields.

Research links Ramsey cardinals to proven aspects of Galvin's conjecture in set theory.

Exploring the interactions of groups in binary spaces through orbits and bi-invariant sets.

Explore the unique properties and applications of Cantor sets in mathematics.

Explore the key concepts and importance of choice principles in mathematical theory.

A look into how realizability connects mathematics, logic, and computation.

An exploration of cardinal characteristics and their significance in generalized Baire spaces.

A look into ideals and cardinal numbers in mathematical structures.

An overview of semilattices and frames in mathematics and their interconnections.

Exploring random and deterministic methods in generating Cantor sets.

Exploring structures that represent uncertainty within topological spaces.

This article examines Bender-Knuth involutions and their effects on poset structures.

This article clarifies independence relations and their significance in model theory.

Furstenberg sets connect geometry and number theory, revealing deep mathematical insights.

Discover how partitions, idempotents, and group actions connect in mathematics.

This article examines the challenges and insights in studying arithmetic degrees.

This article discusses how spaces influence function behavior in mathematics.

Explore the role of ultrafilters in mathematics and their relationship with various ideals.

Explore the fascinating connections between Hindman spaces, ideals, and convergence.

Explore Kneser graphs, dominating sets, and their significance in various fields.

A look into the principles of subcomplete and subproper forcing in set theory.

This article discusses how densities and ideals categorize natural numbers.

A deep dive into the properties and implications of disjoint stationary sequences.

This paper discusses methods to address the Falconer distance set problem using new estimates.

An overview of Hattori spaces and their key properties.

A look into the characteristics and dimensions of pinned distance sets in mathematics.

A look at division in math using shoes and socks as examples.

A look into how certain sets behave under different conditions.

A look into how codes reveal relationships between sets.

Explore the unique properties of generic and strongly generic sets within group theory.

Exploring how group actions influence growth and behavior on sets.

Investigating zero-dimensional compact spaces that can be reshaped into squares.

A look into the connections between Grothendieck and Nikodym properties in mathematics.

Exploring slender trees and their role in set theory and large cardinals.

A clear look at P-points and P-measures and their significance in mathematics.

Learn about Boolean algebras and their significance in logic and set theory.

Exploring the Non-Cancelling Intersections Conjecture's impact on set theory.