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Date : 2001-12-03
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0521795400
Algebraic topology Wikipedia ~ Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism though usually most classify up to homotopy equivalence Although algebraic topology primarily uses algebra to study topological problems using topology to solve algebraic problems
Algebraic Topology from Wolfram MathWorld ~ Algebraic topology is the study of intrinsic qualitative aspects of spatial objects surfaces spheres tori circles knots links configuration spaces etc that remain invariant under bothdirections continuous onetoone homeomorphic transformations The discipline of algebraic topology is popularly known as rubbersheet geometry and can also be viewed as the study of
Algebraic Topology MIT Mathematics ~ Algebraic methods become important in topology when working in many dimensions and increasingly sophisticated parts of algebra are now being employed In algebraic topology we investigate spaces by mapping them to algebraic objects such as groups and thereby bring into play new methods and intuitions from algebra to answer topological questions
WHAT IS ALGEBRAIC TOPOLOGY University of Rochester ~ Algebraic topology is a twentieth century field of mathematics that can trace its origins and connections back to the ancient beginnings of mathematics For example if you want to determine the number of possible regular solids you use something called the Euler characteristic which was originally invented to study a problem in graph theory
Algebraic Topology Definition of Algebraic Topology by ~ Algebraic topology definition is a branch of mathematics that focuses on the application of techniques from abstract algebra to problems of topology How to use algebraic topology in a sentence
Algebraic Topology YouTube ~ A first course in Algebraic Topology with emphasis on visualization geometric intuition and simplified computations Given by Prof N J Wildberger at UNSW
Preface Cornell University ~ algebraic topology details involving pointset topology are often treated lightly or skipped entirely in the body of the text Not included in this book is the important but somewhat more sophisticated topic of spectral sequences It was very tempting to include something about this
Algebraic Topology Book Cornell University ~ A downloadable textbook in algebraic topology Whats in the Book To get an idea you can look at the Table of Contents and the Preface Printed Version The book was published by Cambridge University Press in 2002 in both paperback and hardback editions but only the paperback version is currently available ISBN 0521795400 I have tried very hard to keep the price of the paperback
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