Abstract
Notation. ,f is the category of finite dimensional real vector spaces with a positive definite inner product. Morphisms in .1 are the linear maps respecting the inner product. g is the category of continuous functors from .1 to spaces. (The spaces in question are assumed to be compactly generated Hausdorff, homotopy equivalent to CW-spaces). A morphism E > F (natural transformation) in g is an equivalence if E(V) > F(V) is a homotopy equivalence for each V in ,f. An object E in g is polynomial of degree < n if, for each V in .1, the canonical map
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