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Timeline for Boardman-Vogt tensor product

Current License: CC BY-SA 3.0

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Feb 24, 2015 at 6:33 vote accept Max
Feb 24, 2015 at 2:07 answer added Gijs Heuts timeline score: 10
Feb 23, 2015 at 21:18 history edited Max CC BY-SA 3.0
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Feb 23, 2015 at 21:14 comment added Max @AndreaGagna I edited the question.
Feb 23, 2015 at 21:13 history edited Max CC BY-SA 3.0
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Feb 23, 2015 at 17:28 comment added Andrea Gagna @Max, so you are considering the category of (monochromatic) symmetric operad enriched in the monoidal model category $\mathbf{sSet}_{\text Quillen}$ of simplicial sets (with the classical Quillen model structure) and the related enriched Boardman-Vogt tensor product?
Feb 23, 2015 at 11:44 comment added Max @AndreaGagna, a morphism between two operads $f:A\rightarrow B$ is a weak equivalence (fibration) if $f_{n}: A(n)\rightarrow B(n)$ is a weak equivalence (fibration) of simplicial sets for any $n$.
Feb 22, 2015 at 20:29 comment added Andrea Gagna Which model category are you considering on $\mathbf{Op}$? If you are considering the "folk" model category structure, then the answer to question 1) is yes: see this preprint of I. Weiss, as well as $1.6 of his PhD Thesis.
Feb 22, 2015 at 20:16 comment added Max yes, P and Q are cofibrant :) thanks for your remark.
Feb 22, 2015 at 20:13 comment added Pavel Safronov Does the notion of an $E_n$ operad include cofibrancy? Otherwise, $Ass\otimes_{BV} Ass = Comm$, I think.
Feb 22, 2015 at 20:05 history asked Max CC BY-SA 3.0