English

The cube axiom and resolutions in homotopy theory

Algebraic Topology 2021-10-19 v1

Abstract

We show that a version of the cube axiom holds in cosimplicial unstable coalgebras and cosimplicial spaces equipped with a resolution model structure. As an application, classical theorems in unstable homotopy theory are extended to this context.

Keywords

Cite

@article{arxiv.2110.09119,
  title  = {The cube axiom and resolutions in homotopy theory},
  author = {Manfred Stelzer},
  journal= {arXiv preprint arXiv:2110.09119},
  year   = {2021}
}