A user's guide to algebraic topology
Dodson, C. T. J. Parker, Phillip E.
Dodson, C. T. J.
Parker, Phillip E.
Authors
Other Names
Location
Time Period
Advisors
Original Date
Digitization Date
Issue Date
1997
Type
Genre
Keywords
Algebraic topology
Subjects (LCSH)
Citation
Dodson, C. T. J., and Phillip E. Parker. A User�s Guide to Algebraic Topology. Kluwer Academic Publishers, 1997.
Abstract
Table of Contents
From the publisher: We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; indeed, the book arose from such courses taught by the authors. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. A certain amount of redundancy is built in for the reader's convenience: we hope to minimize fiipping back and forth, and we have provided some appendices for reference. The first three are concerned with background material in algebra, general topology, manifolds, geometry and bundles. Another gives tables of homotopy groups that should prove useful in computations, and the last outlines the use of a computer algebra package for exterior calculus. Our approach has been that whenever a construction from a proof is needed, we have explicitly noted and referenced this. In general, wehavenot given a proof unless it yields something useful for computations. As always, the only way to understand mathematics is to do it and use it. To encourage this, Ex denotes either an example or an exercise. The choice is usually up to you the reader, depending on the amount of work you wish to do; however, some are explicitly stated as ( unanswered) questions. In such cases, our implicit claim is that you will greatly benefit from at least thinking about how to answer them.
Description
Publisher
Kluwer Academic Publishers
Journal
Book Title
Series
Mathematics and its applications (Kluwer Academic Publishers)