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

Zbigniew Fiedorowicz; Wojciech Gajda

Fundamenta Mathematicae (1994)

  • Volume: 145, Issue: 1, page 91-100
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Fiedorowicz, Zbigniew, and Gajda, Wojciech. "The S1-CW decomposition of the geometric realization of a cyclic set." Fundamenta Mathematicae 145.1 (1994): 91-100. <http://eudml.org/doc/212036>.

@article{Fiedorowicz1994,
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.},
author = {Fiedorowicz, Zbigniew, Gajda, Wojciech},
journal = {Fundamenta Mathematicae},
keywords = {cyclic set; $S^1-CW$ complex; equivariant homology theory; geometric realization of a cyclic set; -equivariant, cellular decomposition; cyclic homology of a cyclic space; -equivariant Borel homology},
language = {eng},
number = {1},
pages = {91-100},
title = {The S1-CW decomposition of the geometric realization of a cyclic set},
url = {http://eudml.org/doc/212036},
volume = {145},
year = {1994},
}

TY - JOUR
AU - Fiedorowicz, Zbigniew
AU - Gajda, Wojciech
TI - The S1-CW decomposition of the geometric realization of a cyclic set
JO - Fundamenta Mathematicae
PY - 1994
VL - 145
IS - 1
SP - 91
EP - 100
AB - 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.
LA - eng
KW - cyclic set; $S^1-CW$ complex; equivariant homology theory; geometric realization of a cyclic set; -equivariant, cellular decomposition; cyclic homology of a cyclic space; -equivariant Borel homology
UR - http://eudml.org/doc/212036
ER -

References

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