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Homotopy theory of non-symmetric operads

Published 9 Jan 2011 in math.AT, math.CT, and math.QA | (1101.1634v1)

Abstract: We endow categories of non-symmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories with a symmetric monoidal structure. We also study categories of algebras over these operads in enriched non-symmetric monoidal model categories.

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