Algebraic topology

The book is based on my lecture notes "e;Infinite dimensional Morse theory and its applications"e;, 1985, Montreal, and one semester of graduate lectures delivered at the University of Wisconsin, Madison, 1987.

This volume is the Proceedings of the Third Korea-China-Japan Inter- national Symposium on Ring Theory held jointly with the Second Korea- Japan Joint Ring Theory Seminar which took place at the historical resort area of Korea, Kyongju, June 28-July 3, 1999.

This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets.

This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).

Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V.

We have inserted, in this edition, an extra chapter (Chapter X) entitled "e;Some Applications and Recent Developments.

This book is an introduction to manifolds at the beginning graduate level.

The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology.

This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology.

Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject.

This IMA Volume in Mathematics and its Applications TOWARDS HIGHER CATEGORIES contains expository and research papers based on a highly successful IMA Summer Program on n-Categories: Foundations and Applications.

The body of work presented in this book comes from research carried out since 2017 as part of the international "e;Actualite de Rene Thom"e; project.

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape.

This book is an attempt to give a systematic presentation of results and me- ods which concern the ?

The notion of a ?

The papers collected in this volume are contributions to the 43rd session of the Seminaire ' de mathematiques ' superieures ' (SMS) on "e;Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology.

This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002.

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.