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For questions about $A_\infty$-algebras as introduced by Stasheff in 1963 and related structures.
15
votes
Why Grothendieck's Homotopy Hypothesis is so difficult?
First, let me remark that your question does not seem to be about the homotopy hypothesis, but about rectification. More specifically, the homotopy hypothesis concerns the question of whether (some ve …
6
votes
Accepted
Knot Factorization Homology inputs
Let me start with the second question:
2) The map $\alpha$ will indeed respect the degrees. You should think of it as a map between two $E_2$-algebras in unbounded chain-complexes (whose domain happe …