Algebraic topology

In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties.

This is the third version of a book on differential manifolds.

This generalization of geometry is bound to have wide- spread repercussions for mathematics as well as physics.

Real analytic sets in Euclidean space (Le.

Five years ago, I taught a one-quarter course in homological algebra.

Permutation Groups form one of the oldest parts of group theory.

As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely.

This book is primarily concerned with the study of cohomology theories of general topological spaces with "e;general coefficient systems.

In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat's last theorem, Kummer introduced "e;local"e; methods.

The present book aims to give a fairly comprehensive account of the fundamentals of differential manifolds and differential geometry.

The KK-theory of Kasparov is now approximately twelve years old; its power, utility and importance have been amply demonstrated.

We dedicate this book to the memory of J.

The 20 years since the publication of this book have been an era of continuing growth and development in the field of 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.