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单词 Steenrod square
释义

Steenrod square

英语百科

Steenrod algebra

(重定向自Steenrod square)

In algebraic topology, a Steenrod algebra was defined by Cartan (1955) to be the algebra of stable cohomology operations for mod p cohomology.

For a given prime number p, the Steenrod algebra Ap is the graded Hopf algebra over the field Fp of order p, consisting of all stable cohomology operations for mod p cohomology. It is generated by the Steenrod squares introduced by Steenrod (1947) for p=2, and by the Steenrod reduced pth powers introduced in Steenrod (1953) and the Bockstein homomorphism for p>2.

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