Abstract

GUZMAN-SAEN, Aldo  and  XICOTENCATL, Miguel A.. A proof of the Adem relations. Rev.colomb.mat. [online]. 2018, vol.52, n.2, pp.219-225. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v52n2.77161.

We give an alternative proof of the Bullett-Macdonald identity for the Steenrod squares, which is in turn equivalent to the Adem relations. The main idea is to show that the iterated total squaring operation S 2: H n (X) → H 4n(X × BZ2 × BZ2) is the restriction of a total fourth-power operation T: H n(X) → H 4n(X × BΣ4).

Keywords : Adem relations; total squaring operation.

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