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- W3105079934 abstract "Assume that all spaces and maps are localised at a fixed prime $p$. We study the possibility of generating a universal space $U(X)$ from a space $X$ which is universal in the category of homotopy associative, homotopy commutative $H$-spaces in the sense that any map $fcolon Xto Y$ to a homotopy associative, homotopy commutative $H$-space extends to a uniquely determined $H$-map $overline{f}colon U(X)to Y$. Developing a method for recognising certain universal spaces, we show the existence of the universal space $F_2(n)$ of a certain three-cell complex $L$. Using this specific example, we derive some consequences for the calculation of the unstable homotopy groups of spheres, namely, we obtain a formula for the $d_1$-differential of the EHP-spectral sequence valid in a certain range." @default.
- W3105079934 created "2020-11-23" @default.
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- W3105079934 date "2006-04-26" @default.
- W3105079934 modified "2023-10-14" @default.
- W3105079934 title "Universal homotopy associative, homotopy commutative $H$-spaces and the EHP spectral sequence" @default.
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- W3105079934 doi "https://doi.org/10.1017/s0305004106009182" @default.
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