The homotopy theory of cyclic sets

Dwyer, W. G.; Hopkins, M. J.; Kan, D. M.

doi:10.1090/S0002-9947-1985-0797060-1

The homotopy theory of cyclic sets
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by W. G. Dwyer, M. J. Hopkins and D. M. Kan

Trans. Amer. Math. Soc. 291 (1985), 281-289

DOI: https://doi.org/10.1090/S0002-9947-1985-0797060-1

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Abstract:

The aim of this note is to show that the homotopy theory of the cyclic sets of Connes [3] is equivalent to that of $\operatorname {SO} (2)$-spaces (i.e. spaces with a circle action) and hence to that of spaces over $K(Z,2)$.

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Higher algebraic

theory