Fernando Muro

Universidad de Sevilla

Mapping spaces from the (unital) associative operad

Abstract. For ordinary associative algebras, being commutative is a property, and the same is true of being unital. For homotopy algebras, though, there are many different ways of being commutative. In this talk we will show that the space of unital structures on an A-algebra is either empty or contractible. Therefore being unital is also a property for homotopy algebras, rather than a structure.