Topology

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

The Proceedings volume is divided into two parts.

Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977.

The present volume supersedes my Introduction to Differentiable Manifolds written a few years back.

This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well.

The work of Max Dehn (1878-1952) has been quietly influential in mathematics since the beginning of the 20th century.

The standard starting point in cosmology is the cosmological principle; the assumption that the universe is spatially homogeneous and isotropic.

This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology.

This book provides an introduction to some key subjects in algebra and topology.

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

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

Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10-12, 2014.

This is an introductory textbook on isometry groups of the hyperbolic plane.

This book presents original research applying mathematics to musical rhythm, with a focus on computational methods, theoretical approaches, analysis of rhythm in folk and global music traditions, syncopation, and maximal evenness.

This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa- is in the tradition of the books [GH] and [EW.

Explains new applications of the ''large sieve'', an important tool of analytic number theory, presenting potential uses beyond this area.

This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

The main purpose of the present work is to present to the reader a particularly nice category for the study of homotopy, namely the homo- topic category (IV).

This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.

This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nykoping, Sweden.

This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology.

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot TheoryAn Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research.

This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions, rhythm, and music classification.

Permutation Groups form one of the oldest parts of group theory.

Mathematical Analysis: Theory and Applications provides an overview of the most up-to-date developments in the field, presenting original contributions and surveys from a spectrum of respected academics.

The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation.

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry.

This book is based on the full year Ph.

An Introduction to Homological Algebra discusses the origins of algebraic topology.

Details some of the most recent developments at the interface of topology and geometric group theory.

This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science.

This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania).

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

This book provides a comprehensive and up-to-date introduction to Hodge theory-one of the central and most vibrant areas of contemporary mathematics-from leading specialists on the subject.

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.

In mathematics, general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them.

The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces.

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community.

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.

It is a privilege for me to write a foreword for this unusual book.

Das Buch berichtet über das Leben des Mathematikers Friedrich Hirzebruch (1927-2012) und seinen lebenslangen Einsatz für die Mathematik.

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

This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

A monograph demonstrating remarkable and unexpected interdisciplinary connections in the areas of commutative algebra, invariant theory and algebraic topology.

The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology.