This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems......more

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships betwee......more

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This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original mono......more

Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds whic......more

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. Howe......more

Unravel the intricate relationship between quantum mechanics and highly-curved spacetime in this groundbreaking book by ......more

Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric......more

This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than question......more

The Grothendieck construction provides an explicit link between indexed categories and opfibrations. It is a fundamental......more

Handbook of Truly Concurrent Process Algebra provides readers with a detailed and in-depth explanation of the algebra us......more

This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of mod......more

This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to ......more

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This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an ac......more

Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical ba......more

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Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving bot......more

The book addresses a key question in topological field theory and logarithmic conformal field theory: In the case where ......more

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This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing lite......more

This book is a groundbreaking work in the field of topology, exploring the properties of homotopy spheres and the variou......more

The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies is a foundational text in the field of mecha......more

This book is a groundbreaking work in the field of topology, exploring the properties of homotopy spheres and the variou......more

This mathematical treatise explores the invariants of finite continuous groups on the plane. Rothrock’s clear and rigoro......more

This book may be considered first as an introduction to differential geometry and, in particular, to 4-dimensional manifol......more

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

​This book discusses the process by which Ulam’s conjecture is proved, aptly detailing how mathematical problems may be ......more

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Complex Analysis is the powerful fusion of the complex numbers (involving the ’imaginary’ square root of -1) with ordina......more

This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an ac......more

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied ......more

The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old......more

This book contains selected chapters on recent research in topology. It bridges the gap between recent trends of topolog......more

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This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles f......more

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Complex Analysis is the powerful fusion of the complex numbers (involving the ’imaginary’ square root of -1) with ordina......more

This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, ......more

One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discret......more

This book introduces the theory of enveloping semigroups--an important tool in the field of topological dynamics--introd......more

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This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of mod......more

This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work......more

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Preface.- Contents.- Chapter 1 The Analytic Classificatio of Irreducible Plane Curve Singularities.- Chapter 2 Plane alg......more

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the adva......more

The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to......more

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization......more

This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a speci......more

This book consists of five chapters presenting problems of current research in mathematics, with its history and develop......more

This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Swed......more

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held......more

This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative a......more

1. Introduction.- 2. Read Me.- 3. Geodesic Currents.- 4. Train Tracks.- 5. Radallas.- 6. Subconvergence of Measures.- 7.......more

This book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical sy......more

Introduction.- Topological dynamics on the torus.- Stretching with three rods.- Braids.- The Thurston-Nielsen classifica......more

Motivation and Preliminaries.- H-fuzzy topological spaces.- Invertible fuzzy topological spaces.- Types of invertible fu......more

Seekers on the quest for self-knowledge have long been inspired by the maxim, Man, know thyself and thou shalt know the ......more

- 1. Introduction. - 2. Foundations of Differential Geometry. - 3. Symplectic Geometry. - 4. Poisson Geometry. - 5. Defo......more

This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and ......more

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This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an ac......more

The book is a collection of surveys and original research articles concentrating on new perspectives and research direct......more

This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, moder......more