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

Melanocytes

Functorality,space C and for any simplicial complex X, the map from homotopy classes of maps from X to C to the homotopy classes of maps from the minimal model of 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

collagenase

Jacket

,,-Structures and ,,-Structures, then state the result that homotopy theory of commutative DGAs is equivalent to the homotopy theory of commutative A-infinity algebras, the so-called C-infinity algebras. It follows that there is a C-infinity map from the cohomology of a space to its minimal model, a map which induces the identity

頭盔

Precursor

DGAs and Rational Homotopy Theory,stablished, inductively one shows that the rational Postnikov tower of a space is read off from the minimal model of the p.l. forms on the space. The proof of the main inductive result, the Hirsch lemma, is postponed until Chap. .

打火石

,Eilenberg–MacLane Spaces, Cohomology, and Principal Fibrations,This chapter begins by showing that maps of a CW complex to an Eilenberg–MacLane space are classified by the elements in a cohomology group. Then principal fibrations with fiber an Eilenberg–MacLane space are classified by elements in a similar cohomology group.

Cougar

The Hirsch Lemma,In this chapter, we prove the main technical result from Chap. ., namely, the result comparing principle bundles and Hirsch extensions.

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Humble

Phillip Griffiths,John MorganSecond edition with fully updated content.Includes a readable introduction for non-specialists.Provides many elementary examples and exercises

Mendicant

978-1-4939-3699-1Springer Science+Business Media New York 2013