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Ultrametrization of pro*-morphism sets (CROSBI ID 199471)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Uglešić, Nikica
Ultrametrization of pro*-morphism sets // Mathematical communications, 18 (2013), 1; 19-47
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Uglešić, Nikica
engleski
Ultrametrization of pro*-morphism sets
For every pair of inverse systems X, Y in a category A, where Y is cofinite, there exists a complete ultrametric structure on the set pro*-A(X, Y). The corresponding hom-bifunctor is the internal and invariant Hom of a subcategory, containing tow*-A, in the category of complete metric spaces. Several applications to the shape (ordinary, coarse and weak) re considered.
pro-category; pro*-category; complete ultrametric; shape; coarse shape; weak shape; quasi-equivalence; semi-stability; compactum; polyhedron; ANR
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