Topology

This 2001 book presents a general theory as well as a constructive methodology to solve ''observation problems''.

This book provides a remarkable collection of contributions written by some of the most accredited world experts in the modern area of Knotted Fields.

Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.

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

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.

Infinite dimensional holomorphy is the study of holomorphic or analytic func- tions over complex topological vector spaces.

This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces.

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

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.

The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation.

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings.

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

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds.

As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory.

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article.

Fibre bundles play an important role in just about every aspect of modern geometry and topology.

The main themes of this book are non-Kahler complex surfaces and strongly pseudoconcave complex surfaces.

This book, the second of two volumes, presents significant applications for understanding modern analysis.

This book brings together twenty essays on diverse topics in the history and science of knots.

This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory.

The Third International Workshop on Complex Structures and Vector Fields was held to exchange information on current topics in complex analysis, differential geometry and mathematical physics, and to find new subjects in these fields.

This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians.

This volume focuses on the more recent results in computational geometry, such as algorithms for computer pictures of algebraic surfaces, the dimensionality paradigm and medial axis transform in geometric and solid modeling, stationary and non-stationary subdivision schemes for the generation of curves and surfaces, minimum norm networks in CAGD, knot removal and constrained knot removal for spline curves, blossoming in CAGD, triangulation methods, geometric modeling.

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics.

Two prisoners are told that they will be brought to a room and seated so that each can see the other.

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

This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.

This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples.

"e;La narraci6n literaria es la evocaci6n de las nostalgias.

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory.

Universal Spaces and Mappings is devoted to universality problems.

This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(R^d,n) from its beginnings to recent developments.

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

This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids.

Set-Theoretic Topology deals with results concerning set theoretic topology and indicates directions for further investigations.

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

Combining theoretical and practical aspects of topology, this book provides a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data.

In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets.

After the positive settlement of Bieberbach's conjecture by Prof.

What is a number?

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways.

Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology.

This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences.