The Homotopy Theory of E∞ Algebras
نویسنده
چکیده
Let k be a commutative ring and let C be the operad of differential graded k-modules obtained as the singular k-chains of the linear isometries operad [4, §V.9]. We show that the category of C-algebras is a proper closed model category. We use the amenable description of the coproduct in this category [4, V.3.4] to analyze the coproduct of and develop a homotopy theory for algebras over an arbitrary E∞ operad. Draft: January 26, 1998, 17:26.
منابع مشابه
Derived Algebraic Geometry XIII: Rational and p-adic Homotopy Theory
1 Rational Homotopy Theory 4 1.1 Cohomological Eilenberg-Moore Spectral Sequences . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 k-Rational Homotopy Types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Rational Homotopy Theory and E∞-Algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.4 Differential Graded Lie Algebras . . . . . . . . . . ...
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