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Size Functor: Manifold, Continuous Function, Abelian Groups, Functor -

English
2026-03-20
€207.26 €259.07

-20% with code BOOKS

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High Quality Content by WIKIPEDIA articles! Given a size pair (M,f) where M is a manifold of dimension n and f is an arbitrary real continuous function defined on it, the i -th size functor[1], with i=0,ldots,n , denoted by F_i , is the functor in Fun(mathrm{Rord},mathrm{Ab}) , where mathrm{Rord} is the category of ordered real numbers, and mathrm{Ab} is the category of Abelian groups, defined in the follow ... Full description

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High Quality Content by WIKIPEDIA articles! Given a size pair (M,f) where M is a manifold of dimension n and f is an arbitrary real continuous function defined on it, the i -th size functor[1], with i=0,ldots,n , denoted by F_i , is the functor in Fun(mathrm{Rord},mathrm{Ab}) , where mathrm{Rord} is the category of ordered real numbers, and mathrm{Ab} is the category of Abelian groups, defined in the following way. For xle y , setting M_x={pin M:f(p)le x} , M_y={pin M:f(p)le y} , j_{xy} equal to the inclusion from M_x into M_y , and k_{xy} equal to the morphism in mathrm{Rord} from x to y .

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131192722
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€207.26 €259.07