Topology

Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds, a great geometrical idea due to R.

A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology.

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves.

Nearly one hundred years ago Jacques Hadamard used infinite sequences of symbols to analyze the distribution of geodesics on certain surfaces.

This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002.

An Introduction to Point-Set Topology is intended for use in a beginning topology course for undergraduates or as an elective course for graduate students.

This monograph is devoted to the Isomorphism Conjectures formulated by Baum and Connes, and by Farrell and Jones.

This book provides an overview of generalised helices, or Lancret helices, in both Riemannian and Lorentzian backgrounds.

This book provides an overview of generalised helices, or Lancret helices, in both Riemannian and Lorentzian backgrounds.

This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013.

In the more than 100 years since the fundamental group was first introduced by Henri Poincare it has evolved to play an important role in different areas of mathematics.

The ZAG Handbook of Algebraic Geometry provides an extensive collection of extended summaries of all the research talks given at the worldwide ZAG (Zoom Algebraic Geometry) Seminar, as well as contributed short notes.

The ZAG Handbook of Algebraic Geometry provides an extensive collection of extended summaries of all the research talks given at the worldwide ZAG (Zoom Algebraic Geometry) Seminar, as well as contributed short notes.

This book introduces the category of Cartesian cubical sets and endows it with a Quillen model structure using ideas coming from Homotopy type theory.

This unique reference work systematically presents and studies mathematical terms, sourcing literature from antiquity until the 20th century.

This book introduces the category of Cartesian cubical sets and endows it with a Quillen model structure using ideas coming from Homotopy type theory.

This unique reference work systematically presents and studies mathematical terms, sourcing literature from antiquity until the 20th century.

This book provides computational methods, tools, algorithms, code scriptlets, and examples for symbolically generating simple and very complex geometric shapes as solid models and structures for Building Information Modeling (BIM) environments.

This book offers a comprehensive presentation of methods from topological data analysis applied to the study of neural network structure and dynamics.

This book offers a comprehensive presentation of methods from topological data analysis applied to the study of neural network structure and dynamics.

This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto.

Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued.

The theme of this symposium was operator algebras in a wide sense.

This is the softcover reprint of the English translation of 1971 (available from Springer since 1989) of the first 4 chapters of Bourbaki's Topologie generale.

The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives.

A comprehensive and detailed presentation of finite and infinite ergodic theory, fractal measures, and thermodynamic formalism.

Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.

Presents the current state of knowledge in all aspects of two-dimensional homotopy theory.

The first systematic account of the basic theory of normed algebras, without assuming associativity.

Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.

Represents the state of the art in the new field of synthetic differential topology.

Surveys the state of the art in geometric and cohomological group theory.

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

The first of two volumes covering the Steenrod algebra and its various applications.

The second of two volumes covering the Steenrod algebra and its various applications.

An overview of bounded cohomology and simplicial volume covering the basics of the subject and recent research directions.

Written to honour Miles Reid''s 70th birthday, this volume covers a broad range of contemporary research, both concrete and theoretical.

This book constitutes the proceedings of the 4th International Workshop on Computational Topology in Image Context, CTIC 2012, held in Bertinoro, Italy, in May 2012.

Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.

Two basic problems of representation theory are to classify irreducible representations and decompose representations occuring naturally in some other context.

The present textbook is a somewhat expanded version of the material of a three-semester course I gave in Bochum.

The aim of the book is to give an introduction to the main concepts in modern dynamics.

The aim of the book is to give an introduction to the main concepts in modern dynamics.

The theme of this book is to establish a link between gauge theory and L²-cohomology theory.

The theme of this book is to establish a link between gauge theory and L²-cohomology theory.

Borel Games are multiplayer games with infinite horizon and general payoff functions.

Borel Games are multiplayer games with infinite horizon and general payoff functions.