A new approach to model categorical homotopy fiber sequences

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 arro...

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Hauptverfasser: Govzmann, Alisa, Pištalo, Damjan, Poncin, Norbert
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2109.12396