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Functional Massey products and homological algebra

Published online by Cambridge University Press:  24 October 2008

V.P. Snaith
V.P. Snaith
Affiliation:
Emmanuel College, Cambridge
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Extract

0. Introduction. In (8, 9) certain higher order operations, called K-theory Massey Products, were introduced and developed. These operations were designed to investigate the Kunneth formula spectral sequence in equivariant K-theory, constructed in (4). In that application the important feature of Massey products was that they gave operations on certain Tor-algebras which were well-behaved with respect to the algebraic coboundary, δa.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 2 , September 1971 , pp. 219 - 233
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Baum, P.On the cohomology of homogeneous spaces. Topology 7 (1968), 16–38.CrossRefGoogle Scholar
(2)Brown, R.Elements of Modern Topology (McGraw-Hill, 1968).Google Scholar
(3)Cartan, H. & Eilenbebg, S.Homological Algebra (Princeton University Press, 1956).Google Scholar
(4)Hodgkin, L.A Kunneth formula in Equivariant K-theory. Warwick University preprint, 1968.Google Scholar
(5)Hodgkin, L.Notes towards a geometric Eilenberg-Moore spectral sequence mimeographed notes: Forschungsinstitut für Mathematik, ETH (Zurich, 1968).Google Scholar
(6)MaClane, S.Homology (Springer-Verlag, 1967).Google Scholar
(7)Maunder, C. R. F.The spectral sequence of an extraordinary cohomology theory. Proc. Cambridge Philos. Soc. 59 (1963), 567–574.CrossRefGoogle Scholar
(8)Snaith, V. P.Massey Products in K-theory. Proc. Cambridge Philos. Soc. 68 (1970), 303.Google Scholar
(9)Snaith, V. P.Massey Products in K-theory II. Proc. Cambridge Philos. Soc. 69 (1971), 259.Google Scholar
(10)Stasheff, J. D.Homotopy Associativity of H-spaces I. Trans. Amer. Math. Soc. 108 (1963), 275–292.Google Scholar
(11)Whitehead, G. W.Generalised homology theories. Trans. Amer. Math. Soc. 102 (1962), 227–283.CrossRefGoogle Scholar
(12)Porter, G. J.Higher Products. Trans. Amer. Math. Soc. 148 (1970), 315–345.Google Scholar