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Springer Cartesian Cubical Model Categories - Lecture Notes 2385

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Description

Explore advanced mathematical concepts with Cartesian Cubical Model Categories, part of the Springer Lecture Notes in Mathematics series (Volume 2385). This text introduces the category of Cartesian cubical sets and establishes a Quillen model structure by applying principles from Homotopy Type Theory. By utilizing recent constructions of cubical systems within univalent type theory, the book provides an abstract homotopical semantics for type theory. A central focus is Voevodsky's univalence axiom, which helps establish the basic laws of a model structure. This work demonstrates that the homotopical interpretation of constructive type theory is a necessary component for the validity of univalence, offering deep insights for researchers in algebra and higher category theory.

Key Features

This Springer publication is part of the Lecture Notes in Mathematics series, specifically volume 2385.

The text introduces the category of Cartesian cubical sets and its Quillen model structure.

Content utilizes ideas from Homotopy Type Theory to determine abstract homotopical semantics.

The book examines the application of Voevodsky's univalence axiom in establishing model structure laws.

It explores the relationship between constructive type theory and the validity of univalence.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
03 January 2026
Listed Since
09 September 2025

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