Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
We show that the conditions in Steimle's 'additivity theorem for cobordism categories' can be weakened to only require \emph{locally} (co)Cartesian fibrations, making it applicable to a larger class of functors. As an application we compute the difference in classifying spaces between the infinity category of cospans of finite sets and its homotopy category.
Originalsprog | Engelsk |
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Tidsskrift | Journal of the London Mathematical Society |
Vol/bind | 106 |
Udgave nummer | 2 |
Sider (fra-til) | 1291-1318 |
ISSN | 0024-6107 |
DOI | |
Status | Udgivet - 30 apr. 2022 |
Eksternt udgivet | Ja |
ID: 323111471