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Results tagged with a-infinity-algebras
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user 8032
For questions about $A_\infty$-algebras as introduced by Stasheff in 1963 and related structures.
16
votes
Is an A-infinity thing the same the same as strict thing viewed through a homotopy equivalence?
The answer to your question about the loop space is a conditional "yes." The conditions are:
i) X should have the homotopy type of a CW complex, and
ii) When we say topological group, we mean with …
- 18.5k
6
votes
Accepted
Homotopic monoids and $A_\infty$ spaces
Ignoring the unit conditions for a moment, what you are defining is called an $A_3$-structure on the space $M$. It is the third stage of a whole iteratively defined chain of structures on a space (the …
- 18.5k