Homotopy equivalence of normalized and unnormalized complexes, revisited

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2021
• ISSN: 1726-3255
• Hauptverfasser: Lyubashenko, V., Matsui, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188752
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Homotopy equivalence of normalized and unnormalized complexes, revisited / V. Lyubashenko, A. Matsui // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 253-266. — Бібліогр.: 7 назв. — англ.

We consider the unnormalized and normalized complexes of a simplicial or a cosimplicial object coming from the DoldśKan correspondence for an idempotent complete additive category (kernels and cokernels are not required). The normalized complex is defined as the image of certain idempotent in the un...