Topology

This book collects papers on major topics in fixed point theory and its applications.

The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of the knot complement.

This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

This book constitutes the proceedings of the 6th International Workshop on Computational Topology in Image Context, CTIC 2016, held in Marseille, France, in June 2016.

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion.

This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises.

Maxwell''s equations have led to many important mathematical discoveries.

This book presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications.

This book contains some important new contributions to the theory of structured ring spectra.

Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories.

This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort.

The modern theory of Kleinian groups starts with the work of Lars Ahlfors and Lipman Bers; specifically with Ahlfors' finiteness theorem, and Bers' observation that their joint work on the Beltrami equation has deep implications for the theory of Kleinian groups and their deformations.

Topology occupies a central position in the mathematics of today.

There have been exciting developments in the area of knot theory in recent years.

Dieses nunmehr in 4.

This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics.

This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem.

The state of the art from an internationally respected line up of authors working in geometric variational problems.

The first contemporary introduction to topological K-theory.

Based on the first Workshop for Women in Computational Topology that took place in 2016, this volume assembles new research and applications in computational topology.

Dirk van Dalen's biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer.

THE main purpose of writing this monograph is to give a picture of the progress made in recent years in understanding three of the deepest results of Functional Analysis-namely, the open-mapping and closed- graph theorems, and the so-called Krein-~mulian theorem.

In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale.

This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend.

A first approximation to the idea of a foliation is a dynamical system, and the resulting decomposition of a domain by its trajectories.

This monograph presents an approachable proof of Mirzakhani's curve counting theorem, both for simple and non-simple curves.

Fractal Attraction(TM): A Fractal Design System for the Macintosh(R) provides information pertinent to fractal attraction, a Macintosh application.

A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach.

Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory.

Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent.

Comprehensive and up-to-date coverage of topological graph theory.

Important and original research in the fast-developing subject of Kleinian groups and hyperbolic 3-manifolds.

Guides the reader through the nonlinear Perron–Frobenius theory, introducing them to recent developments and challenging open problems.

This volume contains the Notes of a seminar on Intersection Ho- logy which met weekly during the Spring 1983 at the University of Bern, Switzerland.

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

This book is not an intellectual history or popular summary of recent work on consciousness in humans.

This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.

This book presents a development of invariant manifold theory for a spe- cific canonical nonlinear wave system -the perturbed nonlinear Schrooinger equation.

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

The concept of topology has become commonplace in various scientific fields.

In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups.

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras.

Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "e;qualitative theory"e;.

Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations.