The $S^1$-$CW$ decomposition of the geometric realization of a cyclic set
Volume 145 / 1994
Fundamenta Mathematicae 145 (1994), 91-100
DOI: 10.4064/fm-145-1-91-100
Abstract
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.
