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Let NG0 denote the category of all pointed numerically generated spaces andcontinuous maps preserving base-points. In [SYH], we described a passage frombivariant functors to generalized homology and cohomology theories. In thispaper, we construct a bivariant functor such that the associated cohomology isthe Cech cohomology and the homology is the Steenrod homology (at least forcompact metric spaces).

Steenrod-Cech homology-cohomology theories associated with bivariant functors