English

A P-local Delooping Machine

Algebraic Topology 2015-10-29 v1 Category Theory

Abstract

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

Keywords

Cite

@article{arxiv.1510.08404,
  title  = {A P-local Delooping Machine},
  author = {Matthew Sartwell},
  journal= {arXiv preprint arXiv:1510.08404},
  year   = {2015}
}
R2 v1 2026-06-22T11:31:21.353Z