Topology

This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s.

This volume gathers the contributions from the international conference "e;Intelligence of Low Dimensional Topology 2006,"e; which took place in Hiroshima in 2006.

LinKnot - Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics.

This important book presents all the major works of Professor Wen-Tsun Wu, a widely respected Chinese mathematician who has made great contributions in the fields of topology and computer mathematics throughout his research career.

This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.

This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s-1960s.

This volume offers a unique collection of outstanding contributions from renowned women mathematicians who met in Cambridge for a conference under the auspices of European Women in Mathematics (EWM).

This book is an indispensable guide for anyone seeking to familarize themselves with research in braid groups, configuration spaces and their applications.

This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference.

This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process.

The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory.

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra.

The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.

This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010.

The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s.

The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology.

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

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

In this richly illustrated book, the contributors describe the Mereon Matrix, its dynamic geometry and topology.

This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.

The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others.

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature - gravitational, electromagnetic, strong nuclear, and weak nuclear.

This book is part of the series of three books arise from lectures organized by Hitoshi Murakami at RIMS, Kyoto University in the summer of 2001.

The material in this book is organized in such a way that the reader gets to significant applications quickly, and the emphasis is on the geometric understanding and use of new concepts.

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities.

This book covers selected topics in geometry, algebra, calculus and probability theory.

The theory of soliton equations and integrable systems has developed rapidly during the last 20 years with numerous applications in mechanics and physics.

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds.

Manifolds fall naturally into two classes depending on whether they can be fitted with a distance measuring function or not.

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

This book serves as a textbook in real analysis.

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

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

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

This book explains why the finite topological space known as abstract cell complex is important for successful image processing and presents image processing methods based on abstract cell complex, especially for tracing and encoding of boundaries of homogeneous regions.

This book presents few novel Discrete-time Sliding Mode (DSM) protocols for leader-following consensus of Discrete Multi-Agent Systems (DMASs).

This book discusses basic topics in the spectral theory of dynamical systems.

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

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

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra.

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.

Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved.

This book is intended as a one-semester course in general topology, a.

The D(2) problem is a fundamental problem in low dimensional topology.

This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds.

Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves.

This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail.

Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles.

This book contains a collection of papers presented at the 2nd Tbilisi Salerno Workshop on Mathematical Modeling  in March 2015.

The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002).