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7:17 PM
If I want to use the theory of infty-categories (rather than say developing the theory), what would a good approach be? I am afraid that if I just read a paper using the language and filling in the gaps of my knowledge as I go along, I will only gain a superficial knowledge. However, I do not have time to read HTT or Higher Algebra.
Sorry, that first sentence came out wrong. It should read ”if I want to learn how to use”
 
@Dedalus I strongly recommend that you do exactly what you said: find a paper using it and filling the gaps as you go along. Reading chapters 1 and 2 of Higher Topos Theory is not a bad idea if you think you need a primer
 
Thank you for the advice, I think I will heed your advice :)
 
However if you want to apply this theory in more than a completely superficial way, you will not get around learning at least to navigate HTT and HA. But that should come with practice.
 
 
3 hours later…
10:28 PM
Hi! Does anyone know of any place in the literature the "Stasheff equations" for a B_\infty algebras may be found?
So far I've found three or four papers that give the compact definition using bialgebras over V[1] but otherwise no luck.
 

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