Article
Homotopy units in A-infinity algebras
Author/s | Muro Jiménez, Fernando |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2016-03 |
Deposit Date | 2016-07-04 |
Published in |
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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 ... 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. |
Project ID. | FQM-5713
MTM2010-15831 SGR-119-2009 |
Citation | Muro Jiménez, F. (2016). Homotopy units in A-infinity algebras. Transactions of the American Mathematical Society, 368 (3), 2145-2184. |
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