Timeline for Is there a meaningful difference between biased and unbiased composition?
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| Dec 9, 2009 at 18:32 | comment | added | Reid Barton | There are also a host of non-operadic definitions of algebraic structures in homotopy theory ($\Gamma$-spaces, Segal spaces of various kinds, quasicategories, $\Theta_n$-spaces) which can model some notions that operads cannot (and vice versa). These are also unbiased, or perhaps lie entirely outside the biased/unbiased distinction. | |
| Dec 9, 2009 at 17:54 | comment | added | Evan Jenkins | I don't think an operad is an unbiased notion per se; as you point out, there are both biased (e.g., Stasheff polytopes) and unbiased (e.g., little intervals) versions of $A_\infty$ operads. But I think you're right in that the idea of operads in the abstract stems from the notion of unbiased composition, so it would seem that operads are the important "fundamental insight" that thinking about unbiased composition provides. | |
| Dec 9, 2009 at 16:51 | history | answered | Reid Barton | CC BY-SA 2.5 |