A new approach to model categorical homotopy fiber sequences
Volume 581 / 2022
Dissertationes Mathematicae 581 (2022), 1-57
MSC: Primary 18E35; Secondary 18N40, 14A30.
DOI: 10.4064/dm858-5-2022
Published online: 9 July 2022
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.
