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arXiv · 1901.03606

Comparison of Waldhausen constructions

Julia E. Bergner·Angélica M. Osorno·Viktoriya Ozornova·Martina Rovelli·Claudia I. Scheimbauer
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Abstract

In previous work, we develop a generalized Waldhausen $S_{\bullet}$-construction whose input is an augmented stable double Segal space and whose output is a unital 2-Segal space. Here, we prove that this construction recovers the previously known $S_{\bullet}$-constructions for exact categories and for stable and exact $(\infty,1)$-categories, as well as the relative $S_{\bullet}$-construction for exact functors.

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BibTeXRIS

Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova, Martina Rovelli, Claudia I. Scheimbauer. 2019-01-11. Comparison of Waldhausen constructions. https://doi.org/10.2140/akt.2021.6.97

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