The Hilton-Eckmann argument for cup-products

Details The Hilton-Eckmann argument for cup-products The Hilton-Eckmann argument for cup-products

2002-09-03

arxiv.org/abs/math/0209029v1

Proc. Amer. Math. Soc. 132 (8) (2004), pp. 2241--2246.

Mathematics

K-Theory and Homology

6 pages, a few xy-pic diagrams

Scientific paper

We present a simple extension of the classical Hilton-Eckmann argument classically used to prove that the endomorphism monoid of the unit object in a monoidal category is commutative. It allows us to recover in a uniform way well-known results on the graded-commutativity of cup products defined on the cohomology theories attached to various algebraic structures, as well as some more recent results.

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