Softcover ISBN:  9780821810460 
Product Code:  MMONO/183 
List Price:  $52.00 
MAA Member Price:  $46.80 
AMS Member Price:  $41.60 
eBook ISBN:  9781470445973 
Product Code:  MMONO/183.E 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
Softcover ISBN:  9780821810460 
eBook: ISBN:  9781470445973 
Product Code:  MMONO/183.B 
List Price:  $101.00 $76.50 
MAA Member Price:  $90.90 $68.85 
AMS Member Price:  $80.80 $61.20 
Softcover ISBN:  9780821810460 
Product Code:  MMONO/183 
List Price:  $52.00 
MAA Member Price:  $46.80 
AMS Member Price:  $41.60 
eBook ISBN:  9781470445973 
Product Code:  MMONO/183.E 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
Softcover ISBN:  9780821810460 
eBook ISBN:  9781470445973 
Product Code:  MMONO/183.B 
List Price:  $101.00 $76.50 
MAA Member Price:  $90.90 $68.85 
AMS Member Price:  $80.80 $61.20 

Book DetailsTranslations of Mathematical MonographsIwanami Series in Modern MathematicsVolume: 183; 1999; 118 ppMSC: Primary 55; Secondary 57
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. To this end, Sato leads the reader through simple but meaningful examples in concrete terms. Moreover, results are not discussed in their greatest possible generality, but in terms of the simplest and most essential cases.
In response to suggestions from readers of the original edition of this book, Sato has added an appendix of useful definitions and results on sets, general topology, groups and such. He has also provided references.
Topics covered include fundamental notions such as homeomorphisms, homotopy equivalence, fundamental groups and higher homotopy groups, homology and cohomology, fiber bundles, spectral sequences and characteristic classes. Objects and examples considered in the text include the torus, the Möbius strip, the Klein bottle, closed surfaces, cell complexes and vector bundles.
ReadershipGraduate students and research mathematicians in algebraic topology.

Table of Contents

Chapters

Homeomorphisms and homotopy equivalences

Topological spaces and cell complexes

Homotopy

Homology

Homology groups of cell complexes

Cohomology

The Universal coefficient theorem

Fiber bundles and vector bundles

Spectral sequences

A view from current mathematics


Reviews

... Sato's book is a gem, and I am happy to recommend it in very enthusiastic terms.
MAA Reviews 
This is an uncommon book with an interesting idea behind it, which is given in its title: to give an intuitive approach to algebraic topology. Instead of stating theorems in full generality or proving them rigorously with all technical details (or proving them at all), the author rather tries to make the reader familiar with "the idea" of the central notions of algebraic topology.
Zentralblatt MATH 
A nice supplement for a topology course.
American Mathematical Monthly 
The present book is an interesting, perhaps radical, survey of current algebraic topology. For a student who finds topology to be a forest of details, this text offers a chance to get an overview of the whole field.
Mathematical Reviews


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Reviews
 Requests
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. To this end, Sato leads the reader through simple but meaningful examples in concrete terms. Moreover, results are not discussed in their greatest possible generality, but in terms of the simplest and most essential cases.
In response to suggestions from readers of the original edition of this book, Sato has added an appendix of useful definitions and results on sets, general topology, groups and such. He has also provided references.
Topics covered include fundamental notions such as homeomorphisms, homotopy equivalence, fundamental groups and higher homotopy groups, homology and cohomology, fiber bundles, spectral sequences and characteristic classes. Objects and examples considered in the text include the torus, the Möbius strip, the Klein bottle, closed surfaces, cell complexes and vector bundles.
Graduate students and research mathematicians in algebraic topology.

Chapters

Homeomorphisms and homotopy equivalences

Topological spaces and cell complexes

Homotopy

Homology

Homology groups of cell complexes

Cohomology

The Universal coefficient theorem

Fiber bundles and vector bundles

Spectral sequences

A view from current mathematics

... Sato's book is a gem, and I am happy to recommend it in very enthusiastic terms.
MAA Reviews 
This is an uncommon book with an interesting idea behind it, which is given in its title: to give an intuitive approach to algebraic topology. Instead of stating theorems in full generality or proving them rigorously with all technical details (or proving them at all), the author rather tries to make the reader familiar with "the idea" of the central notions of algebraic topology.
Zentralblatt MATH 
A nice supplement for a topology course.
American Mathematical Monthly 
The present book is an interesting, perhaps radical, survey of current algebraic topology. For a student who finds topology to be a forest of details, this text offers a chance to get an overview of the whole field.
Mathematical Reviews