Abstract
Inspired by Lurie’s theory of quasi-unital algebras we prove an analogous result for –categories. By constructing a suitable model category of non-unital complete Segal spaces, we show that the unital structure of an –category can be uniquely recovered from the underlying non-unital structure once suitable candidates for units have been identified. The main result of this paper can be used to produce a proof of the –dimensional cobordism hypothesis, as described in a forthcoming paper of the author.
Citation
Yonatan Harpaz. "Quasi-unital $\infty$–categories." Algebr. Geom. Topol. 15 (4) 2303 - 2381, 2015. https://doi.org/10.2140/agt.2015.15.2303
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