Some Properties of the-Nerve

Source: PubMed Central Open Access, NCBI / U.S. National Library of Medicine

Milan Journal of MathematicsLast synced 7/8/2026Status: syncedPMID: 42405282 pmidDOI: 10.1007/s00032-026-00429-3

The aim of this paper is to prove that the-nerve of two quasi-equivalent-categories (linear over a commutative ring) are weak-equivalent in the Joyal model structure. As a consequence we prove that the-nerve of a pretriangulated-category is a stable-category. Abs1

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