nLab epicyclic space

An epicyclic category is certain small category containing the cyclic category; it has been introduced by Thomas Goodwillie (in an unpublished letter to Waldhausen, August 10, 1987). Epicyclic sets ( epicyclic spaces) are presheaves of sets (topological spaces, respectively) on the epicyclic category.

• D. Burghelea, Z. Fiedorowicz, W. Gajda, Power maps and epicyclic spaces, J. of Pure and Appl. Algebra 96:1, pp. 1–14 (Sep 1994) doi
• Alain Connes, Caterina Consani, Projective geometry in characteristic one and the epicyclic category, arxiv/1309.0406