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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

Mardešić, Sibe Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron // Topology and its applications, 155 (2007), 1; 1-32. doi: 10.1016/j.topol.2007.08.008

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

Povezanost rada

Matematika

Poveznice
Indeksiranost