Latest Articles for Topology

A look at the Gelfand-Naimark Theorem linking topology and algebra.

A study of trees and their measures in Outer Space reveals complex mathematical relationships.

Learn how multisections simplify the study of complex shapes in higher dimensions.

A look into flexible mathematics and its impact on geometry.

An exploration of Liouville manifolds and their role in symplectic geometry.

Explore the essential links between special functions, ideals, and number theory.

A look into braid groups, the Goldberg homomorphism, and their relationships.

Discovering the behavior of geodesics on complex surfaces with holes.

Exploring the role of cohesive modules in complex manifolds and coherent sheaves.

This article examines the triviality of stunted projective spaces in topology.

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

A look into using knots to study magnetic fields in plasmas.

Explore the unique properties and transformations of the Klein bottle in mathematics.

A look into Ehrhart polynomials and unique properties of reflexive polytopes.

An overview of harmonic maps, gluing theory, and energy bubbling.

This paper examines algorithms for creating nonarithmetic pairs in line arrangements.

A look into the relationships between shapes and their spaces in mathematics.

A study of geometrical structures and their classifications within moduli spaces.

Explore the concept of universal metric spaces and their significance in mathematics.

A look at how the Quillen negation monoid shapes morphism properties in category theory.

Exploring connections between geometric objects and algebraic structures.

A look into moduli spaces and their role in algebraic geometry.

This article explores the nuances of extending quasiconformal mappings while maintaining key properties.

Discover how motivic homotopy theory deepens our understanding of algebraic geometry.

A look into the basics of cobordisms and their significance in mathematics.

Investigating how topology influences monitored quantum systems and their behavior.

An overview of ideals and their powers in mathematics.

Explore the fascinating world of higher Teichmüller spaces and their intricate structures.

A look into the layers and dynamics of foliations.

Exploring the relationship between artistic expression and mathematical spaces.

Discover how connections and curvature help us understand mathematical singularities.

A look into the world of foliations and their significant extensions.

Explore the intriguing concepts of ghost maps and ideals in algebra.

Discover the fascinating connections between knots and surfaces in mathematics.

A look into medial quandles and their role in knots and links.

Discover the connections within Symplectic Hodge Theory and its structures.

Dive into the captivating world of 3D magnetic textures and their properties.

Explore the concepts of spaces and locales in mathematical topology.

A simple look into how real and complex maps interact.

A look into how shapes behave using differential forms and cohomology.