Homotopy units in A-infinity algebras

Details Homotopy units in A-infinity algebras Homotopy units in A-infinity algebras

2011-11-11

arxiv.org/abs/1111.2723v1

Mathematics

Algebraic Topology

20 pages

Scientific paper

We show that the space of unital associative DG-algebra structures on a
DG-module is up to homotopy a subset of connected components of the space of
non-unital associative DG-algebra structures. The analogue for DG-categories is
also proven. For this we prove that the canonical map from the associative
DG-operad to the unital associative DG-operad is a homotopy epimorphism.

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