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”

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.

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.