Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron (CROSBI ID 140035)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Mardešić, Sibe
engleski
Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron
In a previous paper the author has associated with every inverse system of compact Hausdorff spaces with limit X and every simplicial complex K (possibly infinite) with geometric realization P a standard standard resolution. In the paper it is proved that this construction is functorial in the first variable. One of the consequences is the existence of a functor from the strong shape category of compact Hausdorff spaces to the shape category of spaces, which maps X to the Cartesian product XxP. Another consequence is the theorem which asserts that, for compact Hausdorff spaces X, X', such that X is strong shape dominated by X' and the Cartesian product X'xP is a direct product in Sh(Top), then also XxP is a direct product in the shape category Sh(Top).
Inverse system ; inverse limit ; resolution ; coherent mapping ; Cartesian product ; direct product ; shape ; strong shape ; shape domination ; strong shape domination
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Podaci o izdanju
155 (1)
2007.
1-32
objavljeno
0166-8641
1879-3207
10.1016/j.topol.2007.08.008