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- Author: Phillip Griffiths
- Publisher: Birkhäuser
- Year: 2013
- Pages: 227
- ISBN-10: 1493936999
- ISBN-13: 9781493936991
- Format: 15.6 x 23.4 x 1.3 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Rational Homotopy Theory and Differential Forms (e-book) (used book) | bookbook.eu
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1 Introduction.- 2 Basic Concepts.- 3 CW Homology Theorem.- 4 The Whitehead Theorem and the Hurewicz Theorem.- 5 Spectral Sequence of a Fibration.- 6 Obstruction Theory.- 7 Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations.- 8 Postnikov Towers and Rational Homotopy Theory.- 9 deRham's theorem for simplicial complexes.- 10 Differential Graded Algebras.- 11 Homotopy Theory of DGAs.- 12 DGAs and Rational Homotopy Theory.- 13 The Fundamental Group.- 14 Examples and Computations.- 15 Functorality.- 16 The Hirsch Lemma.- 17 Quillen's work on Rational Homotopy Theory.- 18 A1-structures and C1-structures.- 19 Exercises.
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- Author: Phillip Griffiths
- Publisher: Birkhäuser
- Year: 2013
- Pages: 227
- ISBN-10: 1493936999
- ISBN-13: 9781493936991
- Format: 15.6 x 23.4 x 1.3 cm, minkšti viršeliai
- Language: English English
1 Introduction.- 2 Basic Concepts.- 3 CW Homology Theorem.- 4 The Whitehead Theorem and the Hurewicz Theorem.- 5 Spectral Sequence of a Fibration.- 6 Obstruction Theory.- 7 Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations.- 8 Postnikov Towers and Rational Homotopy Theory.- 9 deRham's theorem for simplicial complexes.- 10 Differential Graded Algebras.- 11 Homotopy Theory of DGAs.- 12 DGAs and Rational Homotopy Theory.- 13 The Fundamental Group.- 14 Examples and Computations.- 15 Functorality.- 16 The Hirsch Lemma.- 17 Quillen's work on Rational Homotopy Theory.- 18 A1-structures and C1-structures.- 19 Exercises.
Reviews