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Rational Homotopy Theory (Volume 205)
Felix, Yves; Halperin, Steven; Halperin, Stephen; Thomas, J.-C.
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Description for Rational Homotopy Theory (Volume 205)
paperback. Series: Graduate Texts in Mathematics. Num Pages: 572 pages, biography. BIC Classification: PBP. Category: (P) Professional & Vocational. Dimension: 234 x 157 x 31. Weight in Grams: 872.
as well as by the list of open problems in the final section of this monograph. The computational power of rational homotopy theory is due to the discovery by Quillen [135] and by Sullivan [144] of an explicit algebraic formulation. In each case the rational homotopy type of a topological space is the same as the isomorphism class of its algebraic model and the rational homotopy type of a continuous map is the same as the algebraic homotopy class of the correspond ing morphism between models. These models make the rational homology and homotopy of a space transparent. They also ... Read more
as well as by the list of open problems in the final section of this monograph. The computational power of rational homotopy theory is due to the discovery by Quillen [135] and by Sullivan [144] of an explicit algebraic formulation. In each case the rational homotopy type of a topological space is the same as the isomorphism class of its algebraic model and the rational homotopy type of a continuous map is the same as the algebraic homotopy class of the correspond ing morphism between models. These models make the rational homology and homotopy of a space transparent. They also ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer/Sci-Tech/Trade United States
Number of pages
572
Condition
New
Series
Graduate Texts in Mathematics
Number of Pages
539
Place of Publication
New York, NY, United States
ISBN
9781461265160
SKU
V9781461265160
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Rational Homotopy Theory (Volume 205)
From the reviews: MATHEMATICAL REVIEWS "In 535 pages, the authors give a complete and thorough development of rational homotopy theory as well as a review (of virtually) all relevant notions of from basic homotopy theory and homological algebra. This is a truly remarkable achievement, for the subject comes in many guises." ... Read more