Date: Mon, 27 Apr 1998 08:21:06 -0400 (EDT)
From: James Stasheff
Subject: for your newsletter - th
Query:
The ordinary singular cochains form
an associative, but only homotopy commutative, algebra. Rationally, you
can symmetrize. The symmetrized product will not be associative, but,
almost obviously, it will be a homotopy associative. Is it clear
that you may define higher coherent homotopies - with precisely
the symmetires of what Markl calls a balanced $A_\infty$-algebra?
More to the point, is it written somewhere?
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Until August 10, 1998, I am on leave from UNC
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Jim Stasheff jds@math.upenn.edu
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