Titlebook: Rational Homotopy Theory and Differential Forms; Phillip Griffiths,John Morgan Book 2013Latest edition Springer Science+Business Media New

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書目名稱Rational Homotopy Theory and Differential Forms影響因子(影響力)




書目名稱Rational Homotopy Theory and Differential Forms影響因子(影響力)學(xué)科排名




書目名稱Rational Homotopy Theory and Differential Forms網(wǎng)絡(luò)公開度




書目名稱Rational Homotopy Theory and Differential Forms網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Rational Homotopy Theory and Differential Forms被引頻次




書目名稱Rational Homotopy Theory and Differential Forms被引頻次學(xué)科排名




書目名稱Rational Homotopy Theory and Differential Forms年度引用




書目名稱Rational Homotopy Theory and Differential Forms年度引用學(xué)科排名




書目名稱Rational Homotopy Theory and Differential Forms讀者反饋




書目名稱Rational Homotopy Theory and Differential Forms讀者反饋學(xué)科排名

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Book 2013Latest editiontopology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type fro

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Resign

FLING

Examples and Computations,consider the third homotopy group of a simply connected space and the homotopy theory of simply connected 4-manifolds. Lastly, we discuss products and Massey products in cohomology, the principle of two types and the formality of compact Kahler manifolds.

Eviction

Functorality,the p.l. forms on C to that for X is a functorial bijection. We reformulate this result as an equivalence of the rational homotopy category of simply connected spaces with the homotopy category of simply connected DGAs defined over the rationals.

paradigm

手段

Introduction,nifold to classical algebra-topological invariants. The next seven chapters are a review of the basics of classical homotopy theory including the Postnikov tower of a space and the localization of a homotopy type at 0, forming its rational homotopy type. Chapters .–. introduce differential forms and

陪審團

Basic Concepts,e of a fibration is proved. The path space and loop space are introduced. Singular homology and cohomology are defined, and their basic properties are enumerated. Products in homology and cohomology are introduced and Poincar duality is stated. The chapter ends with a brief introduction to the funct