Topology books

This second volume of Research in Computational Topology is a celebration and promotion of research by women in...  Read More >>

Presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial...  Read More >>

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Constructs a Goodwillie tower of categories which interpolates between the category of pointed spaces and the category...  Read More >>

This book explains why the finite topological space known as abstract cell complex is important for successful image...  Read More >>

Demonstrates that all versions of Heegaard Floer homology, link Floer homology, and sutured Floer homology are natural...  Read More >>

This book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception...  Read More >>

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

Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces,...  Read More >>

This 6th Math Girls series entry focuses on the Poincaré Conjecture, a fundamental problem in topology.  Read More >>

This 6th Math Girls series entry focuses on the Poincaré Conjecture, a fundamental problem in topology.  Read More >>

Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data in applied domains....  Read More >>

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This 6th book in the Math Girls series, focusing on a fundamental problem in topology  Read More >>

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra,...  Read More >>

Explores the combinatorial properties of convex sets, families of convex sets in finite dimensional Euclidean spaces,...  Read More >>

Offers an introduction to techniques and results in diagrammatic algebra. The book starts with abstract tensors...  Read More >>

Provides a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures...  Read More >>

The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number...  Read More >>

Part 4 breaks down the traditional, outdated barriers between areas, exploring in particular the interplay between...  Read More >>

The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics...  Read More >>

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This book is the first self-contained exposition of the link between dynamical systems and dimension groups. Recommended...  Read More >>

Aside from teaching readers about developing research areas, this book will inspire researchers to ask further questions...  Read More >>

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