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The $S^1$-$CW$ decomposition of the geometric realization of a cyclic set

Volume 145 / 1994

Zbigniew Fiedorowicz, Wojciech Gajda 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.

Authors

  • Zbigniew Fiedorowicz
  • Wojciech Gajda

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