Topology

This book consists of 16 surveys on Thurston's work and its later development.

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.

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.

This book is a significant companion text to the existing literature on continuum theory.

This book carefully presents a unified treatment of equivariant Poincare duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere.

This book presents a comprehensive account of the theory of spaces of continuous functions under uniform, fine and graph topologies.

The Standard Model is the foundation of modern particle and high energy physics.

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces.

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

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

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

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 textbook is an alternative to a classical introductory book in point-set topology.

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters.

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

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

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

Etale cohomology is an important branch in arithmetic geometry.

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

This book presents the relationship between classical theta functions and knots.

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

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 book serves as a textbook in real analysis.

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.

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.

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.

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 research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article.

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

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

This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology.

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

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics.

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.

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

This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes.

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

A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized.

This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology.

Friendly introduction to higher index theory, a growing subject at the intersection of geometry, topology and operator algebras.

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students.

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students.

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

This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers.

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.

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