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arXiv · 1111.2723

Homotopy units in A-infinity algebras

Fernando Muro
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Abstract

We show that the canonical map from the associative operad to the unital associative operad is a homotopy epimorphism for a wide class of symmetric monoidal model categories. As a consequence, the space of unital associative algebra structures on a given object is up to homotopy a subset of connected components of the space of non-unital associative algebra structures.

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Fernando Muro. 2011-11-11. Homotopy units in A-infinity algebras. https://doi.org/10.1090/tran/6545

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