Topology

The book addresses a key question in topological field theory and logarithmic conformal field theory: In the case where the underlying modular category is not semisimple, topological field theory appears to suggest that mapping class groups do not only act on the spaces of chiral conformal blocks, which arise from the homomorphism functors in the category, but also act on the spaces that arise from the corresponding derived functors.

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry.

Dieses Buch ist aus Vorlesungen hervorgegangen, die der Autor regelmäßig an der RWTH Aachen für Studenten der Mathematik und Informatik gehalten hat.

This book elaborates on an idea put forward by M.

The main objective of this book is to give a broad uni?

The book focuses on the relation between transformation groups and algebraic K-theory.

The main result of this original research monograph is the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees.

This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways.

Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume VII: Modern General Topology focuses on the processes, operations, principles, and approaches employed in pure and applied mathematics, including spaces, cardinal and ordinal numbers, and mappings.

Systematic exposition of current knowledge about the Mandelbrot set, discussing the latest research and results.

This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects).

This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

A quick introduction to foliations and Lie groupoids with numerous examples and exercises to aid the reader.

Straightforward introduction for non-specialists and experts alike.

This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds.

This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas.

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

The behaviour under iteration of unimodal maps of aninterval, such as the logistic map, has recently attractedconsiderable attention.

The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time.

The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems.

This volume originated in the workshop held at Nagoya University, August 28-30, 2015, focusing on the surprising and mysterious Ohkawa's theorem: the Bousfield classes in the stable homotopy category SH form a set.

This book is devoted to computing the index of elliptic PDEs on non-compact Riemannian manifolds in the presence of local singularities and zeros, as well as polynomial growth at infinity.

This book is a remarkable contribution to the literature on dynamical systems and geometry.

The volume is dedicated to AA.

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers.

In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal.

This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research.

This English edition has an additional chapter "e;Elements of Homological Al- gebra"e;.

ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China.

Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history.

The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology.

This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean.

In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such as low dimensional topology, phylogenetic trees or in the context of optimization problems.

Spaces of constant curvature, i.

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline.

Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J.