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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| creator | Govzmann, Alisa Pištalo, Damjan Poncin, Norbert |
| description | 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_str_mv | 10.48550/arxiv.2109.12396 |
| format | Article |
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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
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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
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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.</abstract><doi>10.48550/arxiv.2109.12396</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Topology |
| title | A new approach to model categorical homotopy fiber sequences |
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