This self-contained treatment assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, after which the text proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. Exercises form
Algebraic topology, an introduction
β Scribed by William S. Massey
- Book ID
- 127456262
- Publisher
- Springer-Verlag
- Year
- 1977
- Tongue
- English
- Weight
- 4 MB
- Series
- Graduate texts in mathematics 56
- Edition
- 4th corrected printing
- Category
- Library
- City
- New York
- ISBN
- 0387902716
No coin nor oath required. For personal study only.
β¦ Synopsis
Massey's well-known and popular text is designed to introduce advanced undergraduate or beginning graduate students to algebraic topology as painlessly as possible. The principal topics treated are 2-dimensional manifolds, the fundamental group, and covering spaces, plus the group theory needed in these topics. The only prerequisites are some group theory, such as that normally contained in an undergraduate algebra course on the junior/senior level, and a one-semester undergraduate course in general topology. From the reviews: "This book is highly recommended: as a textbook for a first course in algebraic topology and as a book for selfstudy. The spirit of algebraic topology and of good mathematics is present at every page of this almost perfect book." Bulletin de la SociΓ©tΓ© MathΓ©matique de Belgique#1
π SIMILAR VOLUMES
This book is designed to be an introduction to some of the basic ideas in the field of algebraic topology. In particular, it is devoted to the foundations and applications of homology theory. The only prerequisite for the student is a basic knowledge of abelian groups and point set topology. The ess
Designed to be an introduction to some of the basic ideas in the field of algebraic topology. Devoted to the foundations and applications of homology theory. DLC: Homology theory.
The single most difficult thing one faces when one begins to learn a new branch of mathematics is to get a feel for the mathematical sense of the subject. The purpose of this book is to help the aspiring reader acquire this essential common sense about algebraic topology in a short period of time. T
The single most difficult thing one faces when one begins to learn a new branch of mathematics is to get a feel for the mathematical sense of the subject. The purpose of this book is to help the aspiring reader acquire this essential common sense about algebraic topology in a short period of time. T