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Inverse hypersystems (CROSBI ID 178593)

Prilog u časopisu | izvorni znanstveni rad

Uglešić, Nikica Inverse hypersystems // Topology proceedings, 38 (2011), 253-278

Podaci o odgovornosti

Uglešić, Nikica

engleski

Inverse hypersystems

The notion of a (generalized) inverse hypersystem in a category 𝒞, that generalizes the known notion of a generalized inverse system, is introduced via a functor of a cofinally small weakly cofiltered category to 𝒞. The appropriate morphisms are also defined such that they generalize the morphisms of generalized inverse systems. The corresponding category 𝑃𝑅𝑂-𝒞 is constructed such that 𝑝𝑟𝑜-𝒞 and 𝑃𝑟𝑜- 𝒞 are subcategories of it. In comparison to the relationship between 𝑝𝑟𝑜-𝒞 and 𝑃𝑟𝑜-𝒞, the essential benefit is that there exist inverse hypersystems which are not isomorphic to any generalized inverse system. The notion of a cofinite inverse hypersystem is also introduced, and it is proven that every generalized inverse hypersystem is isomorphic to a cofinite inverse hypersystem. At the end, it is shown by example how an inverse hypersystem could occur.

cofiltered category; generalized inverse system; inverse system; pro-category

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Podaci o izdanju

38

2011.

253-278

objavljeno

0146-4124

Povezanost rada

Matematika