Homotopy equivalence of normalized and unnormalized complexes, revisited

• Datum: 2022
• Hauptverfasser: Lyubashenko, V., Matsui, A.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2022
• Schlagworte: idempotent; simplicial object; homotopy in chain complexes; Dold > Kan correspondence; 18G31; 18N50
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1879
• Назва журналу: Algebra and Discrete Mathematics

We consider the unnormalized and normalized complexes of a simplicial or a cosimplicial object coming from the Dold-Kan 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...