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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Griffiths, Phillip, 1938- author. Rational homotopy theory and differential forms. (OCoLC)857524732 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Phillip Griffiths; John Morgan |

ISBN: | 9781461484684 1461484685 1461484677 9781461484677 |

OCLC Number: | 861184041 |

Description: | 1 online resource. |

Contents: | Basic Concepts -- CW Homology Theorem -- The Whitehead Theorem and the Hurewicz Theorem -- Spectral Sequence of a Fibration -- Obstruction Theory -- Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations -- Postnikov Towers and Rational Homotopy Theory -- deRham's Theorem for Simplicial Complexes -- Differential Graded Algebras -- Homotopy Theory of DGAs -- DGAs and Rational Homotopy Theory -- The Fundamental Group -- Examples and Computations -- Functorality -- The Hirsch Lemma -- Quillen's Work on Rational Homotopy Theory -- A [infinity] -Structures and C [infinity] -Structures -- Exercises. |

Series Title: | Progress in mathematics (Boston, Mass.), volume 16. |

Responsibility: | Phillip Griffiths, John Morgan. |

### Abstract:

Rational Homotopy Theory and Differential Forms
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## Reviews

*Editorial reviews*

Publisher Synopsis

From the book reviews: "This book is a second, augmented version of one of the famous books on rational homotopy. ... The topological intuition throughout the book, the recollections of the necessary elementary homotopy theory and the list of exercises make this book an excellent introduction to Sullivan's theory. ... this book is highly recommended to anyone who wants to understand Sullivan's theory of rational homotopy theory." (Daniel Tanre, Mathematical Reviews, February, 2015) Read more...

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