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Given an equivalence in the form of isomorphisms $\eta:. F and g are rational functions with complex coefficients, so they do in general have poles in the usual complex analysis sense. The notion of a von neumann inverse or of a von neumann regular element has some resemblance to what you're looking for.
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W \\rightarrow v$ in the other direction satisfying the. V \\rightarrow w$ between euclidean vector spaces is a map $g: As to whether they can have poles:
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That any equivalence can be improved to an adjoint equivalence.
Let $h$ be a subgroup of a finite group $g$, and let $n = n_g (h)$ be the normalizer of $h$ in $g$. To gain full voting privileges,
