Geodesic
Homology operations and power series
Glasgow mathematical journal, Tome 24 (1983) no. 2, pp. 161-168

Voir la notice de l'article provenant de la source Cambridge University Press

Bullett and Macdonald [1] have used power series to simplify the statement and proof of the Adem relations for Steenrod cohomology operations. In this paper I give a similar treatment of May's generalized Adem relations [4, §4] and of the Nishida relations ([6], [2, 1.1.1(9)], [5, 3.1(7)]). Both sets of relations apply to Dyer-Lashof operations in E∞, spaces such as infinite loop spaces ([3], [2, I.I]) and in H^ ring spectra ([5, §3]). 
Steiner, Richard. Homology operations and power series. Glasgow mathematical journal, Tome 24 (1983) no. 2, pp. 161-168. doi: 10.1017/S0017089500005231
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[1] 1.Bullett, S. R. and Macdonald, I. G., On the Adem relations, Topology 21 (1982), 329–332. Google Scholar

[2] 2.Cohen, F. R., Lada, T. J. and May, J. P., The homology of iterated loop spaces, Lecture Notes in Mathematics 533 (Springer-Verlag, 1976). Google Scholar | DOI

[3] 3.Dyer, E. and Lashof, R. K., Homology of iterated loop spaces, Amer. J. Math. 84 (1962), 35–88. Google Scholar | DOI

[4] 4.May, J. P., A general algebraic approach to Steenrod operations, in Peterson, F. P., ed., The Steenrod algebra and its applications, Lecture Notes in Mathematics 168 (Springer-Verlag, 1970), 153–231. Google Scholar

[5] 5.May, J. P., H, ring spectra and their applications, in Milgram, R. J., ed., Algebraic and geometric topology, Proc. Symp. Pure Math. 32 (1978), part 2, 229–243. Google Scholar

[6] 6.Nishida, G., Cohomology operations in iterated loop spaces, Proc. Japan Acad. 44 (1968), 104–109. Google Scholar

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