A P-local Delooping Machine

Abstract

We show that for spaces $A$ that satisfy a certain smallness condition, there is a Lawvere theory $T_A$ so that a space $X$ has the structure of a $T_A$-algebra if and only if $X$ is weakly equivalent to a mapping space out of $A$. In particular, spheres localized at a set of primes satisfy this condition.

References in corpus (1)

• Lifting homotopy T-algebra maps to strict maps