Naslov
Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron

Autori
Mardešić, Sibe

Izvornik
Topology and its applications (0166-8641) 155 (2007), 1; 1-32

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Inverse system ; inverse limit ; resolution ; coherent mapping ; Cartesian product ; direct product ; shape ; strong shape ; shape domination ; strong shape domination

Sažetak
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).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA