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

• Autorzy: Zbigniew Fiedorowicz , Wojciech Gajda
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

cyclic set; $S^1-CW$ complex; equivariant homology theory

Kategorie tematyczne

• 55N25: Homology with local coefficients, equivariant cohomology
• 55N91: Equivariant homology and cohomology
• 54H15: Transformation groups and semigroups
• 55N20: Generalized (extraordinary) homology and cohomology theories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1994
• Tom: 145
• Numer: 1
• Strony: 91-100

Daty

wydano

1994

otrzymano

1993-06-16

poprawiono

1994-01-18

Twórcy

autor

Zbigniew Fiedorowicz

• Department of Mathematics, Ohio State University, 231 W. 18th Avenue, Columbus, Ohio 43210, U.S.A.

autor

Wojciech Gajda

• Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

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