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Abstract
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In previous work, we developed a generalized Waldhausen
-construction
whose input is an augmented stable double Segal space and whose output is a
-Segal
space. Here, we prove that this construction recovers the previously known
-constructions
for exact categories and for stable and exact
-categories, as well as the
relative
-construction
for exact functors.
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Keywords
2-Segal spaces, Waldhausen $\sdot$-construction, double
Segal spaces, model categories
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Mathematical Subject Classification 2010
Primary: 18D05, 19D10, 55U40
Secondary: 18G30, 18G55, 55U10, 55U35
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Milestones
Received: 10 February 2020
Accepted: 7 September 2020
Published: 8 July 2021
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