INDEX 123

simplicial set, 55

skew-symmetric Koszul sign, 69

smooth functor, 54

star product, 82

strict morphism of A∞-algebras, 35, 53

strict morphism of L∞-algebras, 70

strongly homotopy associative algebra, 34

strongly homotopy dg module, 39

strongly homotopy Lie algebra, 70

structure constants, 22

suboperad, 90

suspension, 42

Sweedler’s convention, 41

tensor coalgebra, 41

topological algebraic structure, 8

triple cohomology, 100

trivial P-algebra, 108

trivial R-deformation, 10

trivial associative algebra, 29

twisting of an L∞-algebra, 105

underlying module, 10, 87

uniform space, 6

uniformity, 6

uniformly continuous map, 6

unital algebra, 10

universal deformation, 16

unshuffle, 69, 75

variety of structure constants, 22

vector space, 2

versal deformation, 16

weak equivalence of L∞-algebras, 80