𝐸𝐻𝑃 spectra and periodicity. I. Geometric constructions

Gray, Brayton

doi:10.1090/S0002-9947-1993-1152323-X

$EHP$ spectra and periodicity. I. Geometric constructions
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Trans. Amer. Math. Soc. 340 (1993), 595-616 Request permission

Abstract:

The techniques used in $EHP$ calculation are studied, and lead to the notion of an $EHP$ spectrum. A simple inductive procedure suggests the existence of higher order $EHP$ spectra in which the first differential corresponds to ${v_n}$ multiplication. The next case $(n = 1)$ is constructed using the work of Cohen, Moore, and Neisendorfer. Some of the expected universal properties are proven.

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