ISSN:
1573-0514
Keywords:
Quinn homology theory
;
geometric modules
;
algebraicK-homology theory
;
boundedK-theory
;
controlledK-theory
;
bounded topology
;
controlled topology
;
homotopy colimit
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract LetR be a ring with unit and invariant basis property. In [1], the authors define a functorK(_;R):TOP/LIP c→ω-LPEP by combining the open cone construction of [7] with a geometric module construction and show this functor is a homology theory. This paper shows that if attention is restricted to objects ξ∈TOP/LIP c with a ‘homotopy colimit structure’, then the functorK(_;R) is a Quinn homology theory, In particular, for each ξ having a homotopy colimit structure,K(ξ;R) is a homotopy colimit in the category of Ω-spectra. Furthermore, the constituent spectra of this homotopy colimit are obtained naturally from the fibres of ξ.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00961537
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