Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Journal of the London Mathematical Society |
Volume | 106 |
Issue number | 2 |
Pages (from-to) | 1291-1318 |
ISSN | 0024-6107 |
DOIs | |
Publication status | Published - 30 Apr 2022 |
Externally published | Yes |
ID: 323111471