Limits of Algebras with Shifting and a Relationship between the Mod Two Steenrod and Dyer-lashof Algebras
نویسندگان
چکیده
We provide a construction, refined from an inverse limit, that produces the mod 2 Steenrod and Dyer-Lashof algebras from each other. In fact, the construction relates various subalgebras and quotients of the universal Steenrod algebra of operations for H∞-ring spectra. We also describe how the construction transforms the axiomatic properties of homogeneous pre-Koszul algebras and Poincaré-Birkhoff-Witt algebras.
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