Geodesic
Cyclic sets from the nerve of a group and the Böhm-Ştefan construction
Theory and applications of categories, Tome 44 (2025), pp. 181-195 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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.
Publié le :
Classification : 18G90, 19D55
Keywords: cyclic objects, duplicial objects, twisted nerved of a group, Böhm-Ştefan construction 
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     author = {John Boiquaye},
     title = {Cyclic sets from the nerve of a group and the {B\"ohm-\c{S}tefan} construction},
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John Boiquaye. Cyclic sets from the nerve of a group and the Böhm-Ştefan construction. Theory and applications of categories, Tome 44 (2025), pp. 181-195. http://geodesic.mathdoc.fr/item/TAC_2025_44_a4/