Algebraic Topology

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of ...

This book is intended to provide a fast, interdisciplinary introduction to the basic results of p-adic analysis and its connections with mathematic...

The aim of the textbook is two-fold: first to serve as an introductory graduate course in Algebraic Topology and then to provide an application-ori...

This book contains all research papers published by the distinguished Brazilian mathematician Elon Lima. It includes the papers from his PhD thesis...

From the preface: Hopf algebras, Hopf fibration of spheres, Hopf-Rinow complete Riemannian manifolds, Hopf theorem on the ends of groups - can one ...

This text will serve as a user's guide to the study of hyperbolic volume. With clear exposition, the author gives a panoramic view of the many tech...

This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds. It contains a compl...

The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-stan...

This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the st...

Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatme...

This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1...

Module theory is a fundamental area of algebra, taught in most universities at the graduate level. This textbook, written by two experienced teache...

Module theory is a fundamental area of algebra, taught in most universities at the graduate level. This textbook, written by two experienced teache...

Abstract algebra is the study of algebraic structures like groups, rings and fields. This book provides an account of the theoretical foundations i...

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a...

The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have de...

Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approxi...

The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together s...

The body of work presented in this book comes from research carried out since 2017 as part of the international Actualité de René Thom project. Thi...

Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory. Rather than discuss the subject...

Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory. Rather than discuss the subject...