Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans [article]

Jan Steinebrunner
2022 arXiv   pre-print
We show that the conditions in Steimle's 'additivity theorem for cobordism categories' can be weakened to only require 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.
arXiv:1909.07133v2 fatcat:6c6oqhtflrgwfovqpp3xiw3tae