The homotopy groups of the simplicial mapping space between algebras

Emanuel Rodríguez Cirone

Let $\ell$ be a commutative ring with unit. To every pair of $\ell$-algebras $A$ and $B$ one can associate a simplicial set $\mathrm{hom}(A,B^{\Delta })$ so that ${\pi }_0\mathrm{hom}(A,B^{\Delta })$ equals the set of…