A new approach to model categorical homotopy fiber sequences
Algebraic Topology
2021-09-28 v1
Abstract
We propose a simplified definition of Quillen's fibration sequences in a pointed model category that fully captures the theory, although it is completely independent of the concept of action. This advantage arises from the understanding that the homotopy theory of the model category's arrow category contains all homotopical information about its long fibration sequences.
Cite
@article{arxiv.2109.12396,
title = {A new approach to model categorical homotopy fiber sequences},
author = {Alisa Govzmann and Damjan Pištalo and Norbert Poncin},
journal= {arXiv preprint arXiv:2109.12396},
year = {2021}
}