griffiths morgan rational homotopy theory and differential forms pdf Sunday, May 9, 2021 6:15:19 AM

Griffiths Morgan Rational Homotopy Theory And Differential Forms Pdf

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Published: 09.05.2021

John Morgan (mathématicien)

Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully. Download - Immediately Available. This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E.

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.

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Rational Homotopy Theory and Differential Forms

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rational homotopy theory in nLab

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Part of the Progress in Mathematics book series PM, volume

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1 Comments

Avenall L. 15.05.2021 at 12:11

Part of the Progress in Mathematics book series PM, volume

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