Let $F \to X \to Y$ be a fiber sequence. Then $\pi_1(Y)$ acts on any homotopy invariant of $F$. What are the obstructions to lifting this to an actual action $\Omega Y \times F \to F$ of the loop space $\Omega Y$ on $F$?
2026-05-17 04:04:35.1778990675
Action of a loopspace on a fiber?
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