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Results tagged with operads
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user 12166
16
votes
1
answer
675
views
What is this operad-like structure called?
functors $O(n)\colon C\times\stackrel{n}\cdots\times C\rightarrow C$ equipped with natural transformations $O(n)(O(p_1),\dots,O(p_n))\Rightarrow O(p_1+\cdots + p_n)$ satisfying the usual relations (as for operads …
- 15.2k
11
votes
1
answer
276
views
Infinity-homotopies
Koszul duality for operads allows for straightforward generalizations of $A$-infinity algebras and $A$-infinity morphisms for the so called Koszul operads $\mathcal{O}$, among which we find the associative … Ideally, for Koszul operads over an arbitrary commutative ground ring, but anything is welcome. …
- 15.2k
15
votes
1
answer
698
views
Homotopy transfer in the opposite direction
Let $X\rightleftarrows Y\circlearrowleft$ be a strong deformation retraction of chain complexes (a.k.a. contraction), i.e. $X\rightarrow Y\rightarrow X$ is the identity, $Y\rightarrow Y$ is a homotopy …
- 15.2k