Topology

Fixed point theory in probabilistic metric spaces can be considered as a part of Probabilistic Analysis, which is a very dynamic area of mathematical research.

Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights.

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 aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold.

The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology.

Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

Estos ejercicios de Topología y Análisis aspiran a ser, para los alumnos del primer ciclo universitario, una obra que les permita asegurar y precisar sus conocimientos.

Electrical, communication, transportation, computer, and neural networks are special kinds of nets.

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

Mathematical Visualization is a young new discipline.

Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.

Some remarkable connections between commutative algebra and combinatorics have been discovered in recent years.

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.

This volume contains a selection of papers by the participants of the 6.

This book explains and helps readers to develop geometric intuition as it relates to differential forms.

Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.

The first part of this research monograph discusses general properties of G-ENRBs - Euclidean Neighbourhood Retracts over B with action of a compact Lie group G - and their relations with fibrations, continuous submersions, and fibre bundles.

A self-contained exposition of local class field theory for students in advanced algebra.

A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length.

This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point.

The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces.

This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry.

Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications.

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form.

Basic topological algorithms are the subject of this new book.

Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics.

Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing.

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.

This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in Joao Pessoa, Brazil, in September 2012.

The papers collected in this volume are contributions to the 43rd session of the Seminaire ' de mathematiques ' superieures ' (SMS) on "e;Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology.

Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.

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

Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns.

From the reviews: "e;.

This book is a significant companion text to the existing literature on continuum theory.

The papers in this collection, all fully refereed, originalpapers, reflect many aspects of recent significant advancesin homotopy theory and group cohomology.

Historical interest and studies of Weyl's role in the interplay between 20th-century mathematics, physics and philosophy have been increasing since the middle 1980s, triggered by different activities at the occasion of the centenary of his birth in 1985, and are far from being exhausted.