The Hilton-Heckmann argument for the anti-commutativity of cup products

We present a simple extension of the classical Hilton-Eckmann argument which proves 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...

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Autor principal: Suarez-Alvarez, M.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2004
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029939_v132_n8_p2241_SuarezAlvarez
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Sumario:We present a simple extension of the classical Hilton-Eckmann argument which proves 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.