File Name: griffiths morgan rational homotopy theory and differential forms .zip
In mathematics and specifically in topology , rational homotopy theory is a simplified version of homotopy theory for topological spaces , in which all torsion in the homotopy groups is ignored. This simplification of homotopy theory makes calculations much easier. Rational homotopy types of simply connected spaces can be identified with isomorphism classes of certain algebraic objects called Sullivan minimal models, which are commutative differential graded algebras over the rational numbers satisfying certain conditions. The theorem then follows from a result of Detlef Gromoll and Wolfgang Meyer. Equivalently: f is a rational homotopy equivalence if and only if it induces an isomorphism on singular homology groups with rational coefficients. The goal of rational homotopy theory is to understand this category.
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Rational Homotopy Theory and Differential Forms. Authors: Griffiths, Phillip, Morgan, John. Free Preview. Second edition with fully updated content.
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Part of the Progress in Mathematics book series PM, volume Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now… The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises.
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Part of the Progress in Mathematics book series PM, volumeElliot B. 31.12.2020 at 00:40
John Willard Morgan born March 21, is an American mathematician known for his contributions to topology and geometry.Parknessnithems 31.12.2020 at 12:59
Rational Homotopy Theory and Differential Forms Differential Graded Algebras PDF · DGAs and Rational Homotopy Theory. Phillip Griffiths, John Morgan.