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category is certain small category containing the cyclic category; it has been introduced by Thomas Goodwillie (in an unpublished letter to Waldhausen, August 10, 1987).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

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