Böhm and Ştefan developed a general method of construction of cyclic objects from (op)algebras over distributive laws of monads. The goal of this note is to show that all the cyclic sets resulting from the twisted nerve of a group G arise from the Böhm-Ştefan construction.
Keywords: cyclic objects, duplicial objects, twisted nerved of a group, Böhm-Ştefan construction
2020 MSC: 18G90, 19D55
Theory and Applications of Categories, Vol. 44, 2025, No. 5, pp 181-195.
Published 2025-01-22.
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