Topology

The theory set out in this book results from the meeting of descriptive set theory and recursion theory.

These notes develop the theory of descriptive sets, leading up to a new proof of Louveau''s separation theorem for analytic sets.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

A comprehensive account giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.

A comprehensive account giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

Combines cutting-edge research and expository articles in Hodge theory.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

Combines cutting-edge research and expository articles in Hodge theory.

A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.

This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.

A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.

This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.

The first part of a two-volume set offering a systematic explanation of symplectic topology.

The second part of a two-volume set offering a systematic explanation of symplectic topology.

The first part of a two-volume set offering a systematic explanation of symplectic topology.

The second part of a two-volume set offering a systematic explanation of symplectic topology.

A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

This 2003 volume consists of the first two volumes of Mukai''s series on moduli theory.

Maxwell''s equations have led to many important mathematical discoveries.

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

Maxwell''s equations have led to many important mathematical discoveries.

An accessible yet systematic account of reversibility that demonstrates its impact throughout many diverse areas of mathematics.

This engaging, well-motivated textbook helps advanced undergraduate students to grasp core concepts and reveals applications in mathematics and beyond.

An accessible yet systematic account of reversibility that demonstrates its impact throughout many diverse areas of mathematics.

This engaging, well-motivated textbook helps advanced undergraduate students to grasp core concepts and reveals applications in mathematics and beyond.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.

An undergraduate topology text describing knot theory, 3-dimensional manifolds, and embedded graphs, and the role these play in understanding molecular structures.

Based on lax-algebraic and categorical methods, Monoidal Topology provides a unified theory for metric and topological structures with far-reaching applications.

Straightforward introduction for non-specialists and experts alike.

Based on lax-algebraic and categorical methods, Monoidal Topology provides a unified theory for metric and topological structures with far-reaching applications.

Straightforward introduction for non-specialists and experts alike.

This categorical perspective on homotopy theory helps consolidate and simplify one''s understanding of derived functors, homotopy limits and colimits, and model categories, among others.

A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

This categorical perspective on homotopy theory helps consolidate and simplify one''s understanding of derived functors, homotopy limits and colimits, and model categories, among others.

This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

Provides an introduction to critical point theory and shows how it solves many difficult problems.