Size functor

id: size-functor-292-2112467
title: Size functor
text: Given a size pair   where M   is a manifold of dimension n   and f   is an arbitrary real continuous function defined on it, the i -th size functor, with i = 0 , … , n   , denoted by F i   , is the functor in F u n   , where R o r d   is the category of ordered real numbers, and A b   is the category of Abelian groups, defined in the following way. For x ≤ y   , setting M x = { p ∈ M : f ≤ x }   , M y = { p ∈ M : f ≤ y }   , j x y   equal to the inclusion from M x   into M y   , and k x y   equa
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Size_functor
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date modified: 2022-10-17T16:34:44Z
main entity: {"identifier":"Q7533424","url":"https://www.wikidata.org/entity/Q7533424"}
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