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Timeline for Aspherical operads

Current License: CC BY-SA 3.0

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Sep 25, 2013 at 8:41 vote accept Werner Thumann
Sep 13, 2013 at 16:03 answer added James Griffin timeline score: 1
Sep 4, 2013 at 9:21 answer added James Griffin timeline score: 2
S Aug 29, 2013 at 10:27 history bounty ended CommunityBot
S Aug 29, 2013 at 10:27 history notice removed CommunityBot
Aug 21, 2013 at 18:40 comment added Werner Thumann There is a functor from monoidal categories to operads (with several colors), sending $C$ to the operad with colors the objects of $C$ and with operation sets $\mathrm{Hom}_C(A_1\otimes...\otimes A_n;B)$. The left adjoint of this functor is the construction considered above.
Aug 21, 2013 at 18:32 comment added Werner Thumann Thats correct. ;)
Aug 21, 2013 at 16:13 comment added Fernando Muro Your conditions seem to imply that, if a morphism $m\rightarrow n$ exists at all then $m\geq n$, and $m=n$ if and only if the morphism is the identity. Am I right? or maybe I didn't get the question yet?
Aug 21, 2013 at 15:21 comment added Werner Thumann I have edited the question to hopefully clarify things.
Aug 21, 2013 at 15:18 history edited Werner Thumann CC BY-SA 3.0
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Aug 21, 2013 at 14:57 comment added Fernando Muro When you say 'no group action' you mean a non-symmetric operad or a symmetric operad where the symmetric group acts trivially? These situations are orthogonal one another in some sense. What do you mean by monocromatic? Operations in an operad only have one output, so could you make precise your construction of $S(O)$? And finally, since there are many ways of regarding a category as a space, which way are you thinking of?
S Aug 21, 2013 at 8:58 history bounty started Werner Thumann
S Aug 21, 2013 at 8:58 history notice added Werner Thumann Draw attention
Aug 12, 2013 at 22:22 comment added Samuele Giraudo You call "monochromatic" any coloured operad on only one colour? The construction you describe is a classical construction from operads to PROs (see Operads and PROPs of M. Markl, Example 60).
S Aug 12, 2013 at 17:56 history suggested Omar Antolín-Camarena
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Aug 12, 2013 at 17:49 review Suggested edits
S Aug 12, 2013 at 17:56
Aug 12, 2013 at 15:33 history edited Werner Thumann CC BY-SA 3.0
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Aug 12, 2013 at 12:17 history asked Werner Thumann CC BY-SA 3.0