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A counterexample to a group completion conjecture of J. C. Moore.

Fiedorowicz, Zbigniew — 2002

Algebraic & Geometric Topology

The S1-CW decomposition of the geometric realization of a cyclic set

Zbigniew Fiedorowicz; Wojciech Gajda — 1994

Fundamenta Mathematicae

We show that the geometric realization of a cyclic set has a natural, $S^{1}$ -equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and $S^{1}$ -equivariant Borel homology of its geometric realization.

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