Rational Homotopy Theory (Graduate Texts in Mathematics)
| Author | : | |
| Rating | : | 4.12 (725 Votes) |
| Asin | : | 0387950680 |
| Format Type | : | paperback |
| Number of Pages | : | 539 Pages |
| Publish Date | : | 2016-08-29 |
| Language | : | English |
DESCRIPTION:
This is truly a magnificent achievement a true appreciation for the goals and techniques of rational homotopy theory, as well as an effective toolkit for explicit computation of examples throughout algebraic topology."AMERICAN MATHEMATICAL SOCIETY. Felix, S. This is a truly remarkable achievement, for the subject comes in many guises." Y. Halperin, and J.-C. 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) al
"An excellent, very understandable overview" according to Dr. Lee D. Carlson. This book follows up and greatly extends the work of the topologist Dennis Sullivan on the rationalization of topological spaces and continuous maps between these rationalizations. For n greater than or equal to 2, both the nth-homotopy group the nth homology group are abelian, and this lead Sullivan to introduce the concept of a "rationalized space". For such a space, one studies its nth homology group over the rational numbers, and the nth homotopy group of a rationalized space is the tensor product of the nth ho
Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs. As both notation and techniques of rational homotopy theory have been considerably simplified, the book presents modern elementary proofs for many results that were proven ten or fifteen years ago.