Latest Articles for Category Theory

Exploring a framework connecting coalgebra, modal logics, and fixpoint logics.

A clear guide to the connections of higher categories and sheaves.

A look into torsion pairs and their significance in mathematical structures.

A look into profunctors and their role in connecting categories.

Discover the role of pullbacks in understanding relative monads and their applications.

A look into monoidal categories and their applications within mathematics.

A clear exploration of homotopy and homology in topology.

A look at the relationships between modules and algebras using category theory.

An overview of group-crossed tensor categories and their significance in mathematics.

A look at weak factorization systems and their impact in mathematics.

A look at colax adjunctions, pseudomonads, and their applications in mathematics.

An overview of the process for changing weak groupoids to strict groupoids.

This article examines the links between two mathematical areas to enhance understanding.

An overview of categories, cofibrations, fibrations, and their significance in mathematics.

An overview of monoids, their properties, and the importance of group completion.

A look into advanced mathematical structures and their significance.

This study reveals the structure of derived categories in mixed Tate motives.

A look into the structure and significance of atomic toposes.

A simple guide to polynomial functors and their role in category theory.

An overview of thick subcategories and their significance in mathematical structures.

Understanding the role of subfunctors in mathematics and their significance.

A look into fusion categories and their significance in algebra and representation theory.

Explore the significance and applications of arrow algebras in logic and computation.

A new concept reshaping our view of types in mathematics and programming.

This article discusses categories, fibrations, and their significance in mathematics.

Exploring Cauchy-complete categories, subtoposes, and rigid topologies in mathematics.

Explore the role of functors in category theory and their applications.

An overview of functors, taut functors, and their roles in mathematics.

A deep dive into algebraic structures and their role in various mathematical fields.

Learn about topos theory and its key concepts in mathematics.

An exploration of modular tensor categories and their significance in various theories.

A look at how algebraic theories help describe mathematical structures and their interactions.

Explore functor double categories and their role in understanding complex relationships in mathematics.

A look into the concept and applications of fibrations in mathematics.

A look at the connections between algebraic structures and geometric objects.

An overview of multivariate functors and their significance in mathematical analysis.

Examining propositional equality's role in type theory and its implications.

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

A look at computational methods in category theory and their applications.

Break down complex mathematical ideas about categories and their relationships.