We show that the geometric realization of a cyclic set has a natural, -equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and -equivariant Borel homology of its geometric realization.
@article{bwmeta1.element.bwnjournal-article-fmv145i1p91bwm, author = {Zbigniew Fiedorowicz and Wojciech Gajda}, title = {The S1-CW decomposition of the geometric realization of a cyclic set}, journal = {Fundamenta Mathematicae}, volume = {144}, year = {1994}, pages = {91-100}, zbl = {0831.55007}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv145i1p91bwm} }
Fiedorowicz, Zbigniew; Gajda, Wojciech. The S1-CW decomposition of the geometric realization of a cyclic set. Fundamenta Mathematicae, Tome 144 (1994) pp. 91-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv145i1p91bwm/
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