Topology

Four-Dimensional Manifolds and Projective Structure may be considered first as an introduction to di?

The book presents surveys describing recent developments in most of the primary subfields ofGeneral Topology and its applications to Algebra and Analysis during the last decade.

Four-Dimensional Manifolds and Projective Structure may be considered first as an introduction to di?

This book contains selected chapters on recent research in topology.

This book contains selected chapters on recent research in topology.

Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses.

Algebra, as we know it today, consists of many different ideas, concepts and results.

This definitive synthesis of mathematician Gregory Margulis's research brings together leading experts to cover the breadth and diversity of disciplines Margulis's work touches upon.

In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology.

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces.

This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms.

This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values.

This book aims to provide a friendly introduction to non-commutative geometry.

This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time.

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

These are notes from a graduate student course on algebraic topology and K-theory given by Daniel Quillen at the Massachusetts Institute of Technology during 1979-1980.

This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lopez-Pellicer's mathematical research.

This textbook demonstrates how differential calculus, smooth manifolds, and commutative algebra constitute a unified whole, despite having arisen at different times and under different circumstances.

This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research.

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

This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into topological approaches to data analysis and visualization.

This is an in-depth report on the endotrivial modules, an important class of modular representations for finite groups.

In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups.

This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8, 2018.

This book introduces the reader to the most important concepts and problems in the field of l2-invariants.

This book delivers stimulating input for a broad range of researchers, from geographers and ecologists to psychologists interested in spatial perception and physicists researching in complex systems.

This book is dedicated to the structure and combinatorics of classical Hopf algebras.

This book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical systems theory and applications.

This book provides an introduction to topology, differential topology, and differential geometry.

Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G.

This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought.

This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiri Matousek, who passed away prematurely in March 2015.

The volume includes papers from the WSCMO conference in Braunschweig 2017 presenting research of all aspects of the optimal design of structures as well as multidisciplinary design optimization where the involved disciplines deal with the analysis of solids, fluids or other field problems.

This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA).

This is the second volume of the Handbook of the Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research.

This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.

This book is the first systematic treatment of this area so far scattered in a vast number of articles.

In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale.

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

This book elaborates on an idea put forward by M.

This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic.

This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015.

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

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

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

This textbook provides a succinct introduction to algebraic topology.

This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder.

This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics.

This book is the fifth and final volume of Raoul Bott's Collected Papers.

This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics.