ENGLISH

Algebraic topology--homotopy and homology

By Robert M Switzer

Book information

Publisher
Springer-Verlag
Year
1975
ISBN
9780387067582, 9783540427506, 0387067582, 3540427503
ASIN
B0006E7VYS
LCC
QA612 .S9
Open Library ID
OL5058838M
Language
english
Format
DJVU
Filesize
6 MB (5877663 bytes)
Series
Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berucksichtigung der Anwendungsgebiete 212
Pages
543\543
Library
Kolxo3
Scanned
yes
Time added
2010-05-31 15:29:46

Description

The earlier chapters are quite good; however, some of the advanced topics in this book are better approached (appreciated) after one has learned about them elsewhere, at a more leisurely pace. For instance, this isn't the best place to first read about characteristic classes and topological K theory (I would recommend, without much hesitation, the books by Atiyah and Milnor & Stasheff, instead). Much to my disappointment, the chapter on spectral sequences is quite convoluted. Parts of 'user's guide' by Mcleary would certainly come in handy here (which sets the stage rather nicely for applications). So it turns out that supplemental reading (exluding Whitehead's massive treatise) is necessary to achieve a better understanding of algebraic topology at the level of this book. The homotopical view therein will be matched (possibly superseded) by Aguilar's book (forthcoming, to which I am very much looking forward). Good luck!

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