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Cochran–Orr conjecture on the third homotopy group of Orr's space
Let $F$ be a free group with at least two generators, let $\widehat F=\varprojlim_i F/\gamma_i(F)$ be its pro-nilpotent completion, and let $K_\omega$ be the mapping cone of the na…
Conjectureopenhomotopy-theory k-theory nilpotent-completionsarXiv posted 3 days ago

Cochran–Orr conjecture on the third homotopy group of Orr's space