Geodesic
The $S^1$-$CW$ decomposition of the geometric realization of a cyclic set
Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 91-100 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm-145-1-91-100
Keywords: cyclic set, $S^1-CW$ complex, equivariant homology theory

Zbigniew Fiedorowicz 1 ; Wojciech Gajda 1

1 
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Zbigniew Fiedorowicz; Wojciech Gajda. The $S^1$-$CW$ decomposition of the geometric realization of a cyclic set. Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 91-100. doi: 10.4064/fm-145-1-91-100

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