Latest Articles for Topology

Explore vital mathematical ideas shaping our understanding of the universe.

An exploration of the Heisenberg curve's relationship with the Fermat curve.

A look into the fascinating connections within geometry and shapes.

Research reveals how certain graphs avoid tangling on toroidal shapes.

Discover the intriguing world of hyperbolic surfaces and their unique properties.

A look into the world of surfaces and the concept of automatic continuity.

Discover how compact spaces and lattices interact in mathematics.

An overview of the structure and properties of 2-dimensional Shephard groups.

Explore the intriguing world of Kenmotsu manifolds and the role of Ricci solitons.

A look into the world of knots and their relationships in mathematics.

Discover how Khovanov arc algebras reveal connections in mathematics and beyond.

Explore the complex relationship between surfaces, coverings, and holomorphic convexity.

Discover how whisker topology helps understand complex spaces through paths.

Discover how twisted knots shape the world of mathematics and beyond.

Learn about links, Milnor invariants, and their real-world significance.

An exploration of hyperbolic shapes and their fascinating properties.

Exploring the intricate world of calibrated submanifolds and their transformations.

Discover the basics of knot theory and Khovanov homology.

An overview of generalized braids and their role in knot theory.

Discover the links between group theory and graph structures.

Researchers develop methods to analyze shapes using limited data samples.

Discover the intriguing connections between geometry, polytopes, and stabbing sets.

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

Explore the fascinating world of closed geodesics on bumpy spheres.

Can a square perfectly fit on a round surface? Discover the intriguing challenges.

Explore the fascinating world of minimal surfaces and their structures.

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

Discover the interplay of shapes and spaces in topology.

Dive into the world of geodesics on random planar maps.

Discover the fascinating world of genus 4 real algebraic curves and their properties.

Discover the fascinating world of graph manifolds and the Thurston norm.

Discover how commutative diagrams and functors simplify complex mathematical concepts.

Discover the intriguing relationship between different shapes and spaces in mathematics.

Explore the intriguing world of magnetic equivariant K-theory and its real-world applications.

Dive into the fascinating world of four-dimensional shapes and their classification.

Discover the intriguing world of topology through compactness and finiteness.

Discover how a mathematical tool changes our view on knots and links.

Unveiling the fascinating world of tangles and their mathematical significance.

Discover the fascinating world of Triangle Artin groups and their structures.

Explore the fascinating world of shapes and their connections in topology.