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arXiv · 1510.08404

A P-local Delooping Machine

Matthew Sartwell
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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.

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Matthew Sartwell. 2015-10-28. A P-local Delooping Machine. https://arxiv.org/abs/1510.08404

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