Split Dual Dyer-Lashof Operations
نویسنده
چکیده
For each admissible monomial of Dyer-Lashof operations QI , we define a corresponding natural function Q̂I :TH̄∗(X) → H ∗(ΩnΣnX), called a Dyer-Lashof splitting. For every homogeneous class x in H∗(X), a Dyer-Lashof splitting Q̂I determines a canonical element y in H∗(ΩnΣnX) so that y is connected to x by the dual homomorphism to the operation QI . The sum of the images of all the admissible Dyer-Lashof splittings contains a complete set of algebra generators for H∗(ΩnΣnX).
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