Algebraic topology

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry.

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

Combines cutting-edge research and expository articles in Hodge theory.

Combines cutting-edge research and expository articles in Hodge theory.

A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

This categorical perspective on homotopy theory helps consolidate and simplify one''s understanding of derived functors, homotopy limits and colimits, and model categories, among others.

This categorical perspective on homotopy theory helps consolidate and simplify one''s understanding of derived functors, homotopy limits and colimits, and model categories, among others.

This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.

This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi–Grothendieck theory of dessins d''enfants.

Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.

The first detailed elementary introduction to (non-abelian) Galois cohomology.

The first book to deal comprehensively with the theory of fusion systems.

A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented.

A collection of research papers, both new and expository, based on the interests of Professor J.

This introduction to braid groups keeps prerequisites to a minimum, while discussing their rich mathematical properties and applications.

A complete and definitive account of the authors'' resolution of the Kervaire invariant problem in stable homotopy theory.

The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.

Friendly introduction to higher index theory, a growing subject at the intersection of geometry, topology and operator algebras.

Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.

This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

Represents the state of the art in the new field of synthetic differential topology.

A comprehensive introduction to stable homotopy theory for beginning graduate students, from motivating phenomena to current research.

At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

A leading expert presents a unified concept of slenderness in Abelian categories, with numerous open problems and exercises.

Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

The first systematic account of the basic theory of normed algebras, without assuming associativity.

Delivers a broad, conceptual introduction to chromatic homotopy theory, focusing on contact with arithmetic and algebraic geometry.

An introductory treatment to the homotopy theory of homotopical categories, presenting several models and comparisons between them.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

A self-contained exposition of local class field theory for students in advanced algebra.

A self-contained exposition of local class field theory for students in advanced algebra.

The first of two volumes covering the Steenrod algebra and its various applications.