Stasheff's question

The comparison between Segal categories and A infinity categories works in close analogy with the comparison between A infinity spaces (for any A infinity operad) and Segal's special Delta spaces. The topological comparison was worked out in papers of Thomason and Fiedorowicz, themselves analogues of earlier work of Thomason and myself comparing infinite loop space machines. The categorical comparison will appear in a paper I'm writing --- I've talked about it at MSRI and the Newton Institute. Peter May