Topologie algebrique et theorie des faisceaux (Actualites scientifiques et industrielles) (French Edition) [Hardcover]

Roger Godement (Author)

Editorial Reviews

Language Notes

Text: French

Product Details

• Hardcover: 283 pages
• Publisher: Hermann (1998)
• Language: French
• ISBN-10: 2705612521
• ISBN-13: 978-2705612528
• Product Dimensions: 9.4 x 6.8 x 0.7 inches
• Shipping Weight: 14.1 ounces
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #1,042,057 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

Most Helpful Customer Reviews

13 of 14 people found the following review helpful:

5.0 out of 5 stars This is how we really should learn "hard" math!, October 23, 2001

By 

Pedro L. Ribeiro "lqp-man" (Cotia, SP Brazil) - See all my reviews
(REAL NAME)   

This review is from: Topologie algebrique et theorie des faisceaux (Actualites scientifiques et industrielles) (French Edition) (Hardcover)

This long-time out-of-print French book is one of a kind:
it manages to, at the same time:

- Be an acclaimed reference in sheaf theory for
more than 40 years in most areas where it is used
(algebraic topolgy, several complex variables, algebraic
geometry);
- Teach sheaf theory supposing you don't know
a single shred of algebraic topology (in fact, it presents
all the "hard" background in the first chapter);
- Teach all the homological algebra you'll ever
need, up to spectral sequences, in a little more than
100 pages (the rest of the book is about sheaf theory
itself).

It assumes you're familiar with the basics of algebra
(groups, rings, modules, homomorphisms) and point-set
topology. Godement wrote this book with the non-specialist
in mind (as a matter of fact, Godement himself was an
analyst, not and algebraic topologist), but some of the
results contained within it are very original -
the frequent use of the so-called flasque resolutions,
discovered by Godement, simplifies many demonstrations
in homological algebra and sheaf theory, although
they are not used very often nowadays.

All things considered, I believe that this title should
be seriously considered to being reprinted, and even
translated to English, in order that younger generations of mathematicians and physicists (myself included) can apreciate
how a rather difficult topic should be teached.