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Title: Algebraic Topology by Robert M. Switzer ISBN: 3-540-42750-3 Publisher: Springer-Verlag Pub. Date: 26 February, 2002 Format: Paperback Volumes: 1 List Price(USD): $44.95 |
Average Customer Rating: 4 (1 review)
Rating: 4
Summary: This might take a while...
Comment: 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 The homotopical view therein will be matched (possibly superseded) by Aguilar's book (forthcoming, to which I am very much looking forward).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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Title: An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) by Charles A. Weibel, B. Bollobas, W. Fulton, A. Katok, F. Kirwan, P. Sarnak ISBN: 0521559871 Publisher: Cambridge University Press Pub. Date: 27 October, 1995 List Price(USD): $37.00 |
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Title: Fibre Bundles by Dale Husemoller ISBN: 0387940871 Publisher: Springer-Verlag Pub. Date: 09 December, 1993 List Price(USD): $69.95 |
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Title: A User's Guide to Spectral Sequences (Cambridge Studies in Advanced Mathematics) by John McCleary, B. Bollobas, W. Fulton, A. Katok, F. Kirwan, P. Sarnak ISBN: 0521567599 Publisher: Cambridge University Press Pub. Date: 27 November, 2000 List Price(USD): $40.00 |
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Title: Topology from the Differentiable Viewpoint by John Willard Milnor ISBN: 0691048339 Publisher: Princeton University Press Pub. Date: 24 November, 1997 List Price(USD): $17.95 |
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Title: The Topology of Fibre Bundles. (PMS-14) by Norman Steenrod ISBN: 0691005486 Publisher: Princeton University Press Pub. Date: 05 April, 1999 List Price(USD): $29.95 |
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