Topology

Algebraic Topology is an introductory textbook based on a class for advanced high-school students at the Stanford University Mathematics Camp (SUMaC) that the authors have taught for many years.

Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.

'Homology' as a concept became increasingly elusive during the course of the 20th century.

This book discusses major theories and applications of fuzzy soft multisets and their generalization which help researchers get all the related information at one place.

An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition .

This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics.

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods.

This work was initiated in the summer of 1985 while all of the authors were at the Center of Nonlinear Studies of the Los Alamos National Laboratory; it was then continued and polished while the authors were at Indiana Univer- sity, at the University of Paris-Sud (Orsay), and again at Los Alamos in 1986 and 1987.

A collection of articles giving overviews and open questions in singularities and their computational aspects.

Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics.

In this second edition, the following recent papers have been added: "e;Gauss Codes, Quantum Groups and Ribbon Hopf Algebras"e;, "e;Spin Networks, Topology and Discrete Physics"e;, "e;Link Polynomials and a Graphical Calculus"e; and "e;Knots Tangles and Electrical Networks"e;.

The contributions to this volume were presented at a Symposium entitled "e;Current Topics in Muscle and Nonmuscle Motility"e; held in Dallas 19-21 November 1980 under the auspices of the A.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space.

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary.

In this second edition, the main additions are a section devoted to surfaces with constant negative curvature, and an introduction to conformal geometry.

Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work.

Smooth Topological Design of Continuum Structures focuses on the use of a newly-proposed topology algorithm for structural optimization called Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT).

The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics.

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

This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory.

One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting.

A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.

This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA).

This textbook presents the theory of Metric Spaces necessary for studying analysis beyond one real variable.

With one exception, these papers are original and fullyrefereed research articles on various applications ofCategory Theory to Algebraic Topology, Logic and ComputerScience.

This volume contains the courses and lectures given during the workshop on Differential Geometry and Topology held at Alghero, Italy, in June 1992.

Topology, Volume II deals with topology and covers topics ranging from compact spaces and connected spaces to locally connected spaces, retracts, and neighborhood retracts.

The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory.

This 2003 volume consists of the first two volumes of Mukai''s series on moduli theory.

Homological algebra first arose as a language for describing topological prospects of geometrical objects.

This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation.

This book is an introduction to modern methods of symplectic topology.

This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created.

This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant.

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

This volume contains the conference on quantum topology, held at Kansas State University, Manhattan, KS, 24 - 28 March 1993.

The homology of manifolds enjoys a remarkable symmetry: Poincare duality.

This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point.

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.

A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra.

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations.

The main themes of this book are non-Kahler complex surfaces and strongly pseudoconcave complex surfaces.

This book is a new edition of "e;Tensors and Manifolds: With Applications to Mechanics and Relativity"e; which was published in 1992.

The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics.

Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

This is a monograph on fixed point theory, covering the purely metric aspects of the theory-particularly results that do not depend on any algebraic structure of the underlying space.

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