Homotopy units in A-infinity algebras
Algebraic Topology
2016-01-27 v4 Quantum Algebra
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.
Cite
@article{arxiv.1111.2723,
title = {Homotopy units in A-infinity algebras},
author = {Fernando Muro},
journal= {arXiv preprint arXiv:1111.2723},
year = {2016}
}
Comments
39 pages, the proof of the main theorem for DG-operads has been corrected, cylinders are not used any more and will be considered elsewhere