𝐸𝐻𝑃 spectra and periodicity. I. Geometric constructions

Abstract

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