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- W1984938478 abstract "We define a category, $mathcal {H}_p^n$ (for each $n$ and $p$), of spaces with strong homotopy commutativity properties. These spaces have just enough structure to define the $bmod p$ Dyer-Lashof operations for $n$-fold loop spaces. The category $mathcal {H}_p^n$ is very convenient for applications since its objects and morphisms are defined in a homotopy invariant way. We then define a functor, $P_p^n$, from $mathcal {H}_p^n$ to the homotopy category of spaces and show $P_p^n$ to be left adjoint to the $n$-fold loop space functor. We then show how one can exploit this adjointness in cohomological calculations to yield new results about iterated loop spaces." @default.
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- W1984938478 date "1995-04-01" @default.
- W1984938478 modified "2023-09-25" @default.
- W1984938478 title "Hopf constructions and higher projective planes for iterated loop spaces" @default.
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- W1984938478 doi "https://doi.org/10.1090/s0002-9947-1995-1282890-9" @default.
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