Melanocytes
发表于 2025-3-25 03:29:02
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
发表于 2025-3-25 11:15:27
http://reply.papertrans.cn/83/8215/821433/821433_22.png
Jacket
发表于 2025-3-25 13:34:23
,,-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
头盔
发表于 2025-3-25 16:25:34
http://reply.papertrans.cn/83/8215/821433/821433_24.png
Precursor
发表于 2025-3-25 20:57:56
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
发表于 2025-3-26 02:05:42
,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
发表于 2025-3-26 05:14:58
The Hirsch Lemma,In this chapter, we prove the main technical result from Chap. ., namely, the result comparing principle bundles and Hirsch extensions.
首创精神
发表于 2025-3-26 11:23:53
http://reply.papertrans.cn/83/8215/821433/821433_28.png
Humble
发表于 2025-3-26 13:15:05
Phillip Griffiths,John MorganSecond edition with fully updated content.Includes a readable introduction for non-specialists.Provides many elementary examples and exercises
Mendicant
发表于 2025-3-26 19:50:33
978-1-4939-3699-1Springer Science+Business Media New York 2013