Topology

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

Graduate students and researchers in applied mathematics, optimization, engineering,  computer science, and  management science will find this book a useful reference which provides an introduction to applications and fundamental theories in nonlinear combinatorial optimization.

This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.

A modern, comprehensive review of abstract regular polytopes.

This book is an introduction to classical knot theory.

This book studies diverse aspects of braid representations via knots and links.

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research.

This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002.

This book contains selected chapters on topology and dynamical systems and their interdisciplinary applications.

One of the fundamental ideas of mathematical analysis is the notion of a function; we use it to describe and study relationships among variable quantities in a system and transformations of a system.

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

The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum.

This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics.

This volume contains surveys and research articles regarding different aspects of the theory of foliation.

The volume contains the texts of four courses, given bythe authors at a summer school that sought to present thestate of the art in the growing field of topological methodsin the theory of o.

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

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

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 volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself.

A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology.

The book is devoted to the study of the geometrical and topological structure of gauge theories.

This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications.

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

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

This book is a survey of current topics in the mathematical theory of knots.

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 contains selected chapters on recent research in topology.

This unusual book, richly illustrated with 29 colour illustrations and about 200 line drawings, explores the relationship between classical tessellations and three-manifolds.

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics.

Rational homotopy is a very powerful tool for differential topology and geometry.

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

This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

Nato dall'esperienza dell'autore nell'insegnamento della topologia agli studenti del corso di Laurea in Matematica, questo libro contiene le nozioni fondamentali di topologia generale ed una introduzione alla topologia algebrica.

The first fully self-contained introduction to geometric algebra by two leading experts in the field.

This 2003 book connects topology and algebra using modern techniques.

The contributions in this volume-dedicated to the work and mathematical interests of Oleg Viro on the occasion of his 60th birthday-are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap among analysis, geometry, and topology.

The present volume contains the proceedings of the workshop on "e;Minimax Theory and Applications"e; that was held during the week 30 September - 6 October 1996 at the "e;G.

Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area.