瓦尔德豪森结构的比较

IF 0.5 Q3 MATHEMATICS

Annals of K-Theory Pub Date : 2019-01-11 DOI:10.2140/akt.2021.6.97

J. Bergner, A. Osorno, Viktoriya Ozornova, M. Rovelli, Claudia I. Scheimbauer

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引用次数: 2

摘要

在以前的工作中，我们发展了一个广义Waldhausen$S_｛\bullet｝$-构造，其输入是增广稳定双Segal空间，其输出是酉2-合法空间。在这里，我们证明了这个构造恢复了精确范畴和稳定精确的$（\infty，1）$-范畴的先前已知的$S_{\bullt}$-构造，以及精确函子的相对$S_{\pullt}$构造。

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Comparison of Waldhausen constructions

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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来源期刊

Annals of K-Theory MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量