1965
DOI: 10.1016/0040-9383(65)90048-0
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The cohomology structure of certain fibre spaces—I

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Cited by 78 publications
(50 citation statements)
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“…Using the previously indicated fact that X may be assumed to be a product of K(x, w)'s, we next construct a homology isomorphism of DGA-algebras a: C*(X)-+H*(X). We may then replace {£ r (A, C*(B), C*(X))} by {£ r (A, C*(B) 9 H*(X))}. By keeping track of how a acts on iterated Ui-products, we can show how to calculate, without recourse to the cochain level, all matric Massey products relevant to the computation of the higher differentials.…”
Section: J P May [Marchmentioning
confidence: 99%
See 1 more Smart Citation
“…Using the previously indicated fact that X may be assumed to be a product of K(x, w)'s, we next construct a homology isomorphism of DGA-algebras a: C*(X)-+H*(X). We may then replace {£ r (A, C*(B), C*(X))} by {£ r (A, C*(B) 9 H*(X))}. By keeping track of how a acts on iterated Ui-products, we can show how to calculate, without recourse to the cochain level, all matric Massey products relevant to the computation of the higher differentials.…”
Section: J P May [Marchmentioning
confidence: 99%
“…Under appropriate stability assumptions on ƒ: X~>B f Kristenson [8], Massey and Peterson [9], and Smith [12] have computed H*(E; Z%) as an algebra, where £ is a two-stage space. Their results also give partial information on the Steenrod operations.…”
Section: J P May [Marchmentioning
confidence: 99%
“…Any cyclic module C • gives rise to a cyclic bicomplex C •• , see, e.g., [14] for details. The only thing we recall here is that the differential on the b-columns is given by 27) and likewise β := n+1 i=0 (−1) i δ i for a cocyclic module. 2.6.3.…”
Section: Definition 23mentioning
confidence: 99%
“…Using the notion of smash product (or, more general, of distributive law between two algebras), we give here an alternative construction (of which the Massey-Peterson algebra in [27,19] is a special case) of this object: let U L be the universal enveloping algebra of L with its canonical Hopf algebra structure, and consider the k-linear map L ω −→ Der k (R). Extending this map to U L, we obtain the structure of a U Lmodule algebra on R. Following [35, pp.…”
Section: Lie Algebroids and Associated Left Hopf Algebroidsmentioning
confidence: 99%
“…We begin with a discussion of semi-tensor products as described by Massey and Peterson [9] and by Smith [15]. …”
Section: Generalized Productsmentioning
confidence: 99%