Abstract
Previously (Adv. Math. 360 (2020) art. id. 106895), we introduced a class of –local finite spectra and showed that all spectra admit a –self-map of periodicity . The aim here is to compute the –local homotopy groups of all spectra using a homotopy fixed point spectral sequence, and we give an almost complete answer. The incompleteness lies in the fact that we are unable to eliminate one family of –differentials and a few potential hidden –extensions, though we conjecture that all these differentials and hidden extensions are trivial.
Citation
Prasit Bhattacharya. Philip Egger. "Towards the $K(2)$–local homotopy groups of $Z$." Algebr. Geom. Topol. 20 (3) 1235 - 1277, 2020. https://doi.org/10.2140/agt.2020.20.1235
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