E-theory categories for locally compact Hausdorff spaces and finite-open locales are equivalent to E-valued sheaves and cosheaves respectively.
E-theory C ^ * -algebras over topological spaces
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$E$-theory of $X$-$C^{*}$-algebras and functor formalisms
E-theory categories for locally compact Hausdorff spaces and finite-open locales are equivalent to E-valued sheaves and cosheaves respectively.