Naslov
Using non-cofinite resolutions in shape theory. Application to Cartesian products

Autori
Mardešić, Sibe

Izvornik
Mathematical communications (1331-0623) 16 (2011), 2; 301-317

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

Ključne riječi
strong shape ; Cartesian product ; cofinite polyhedral resolution

Sažetak
The strong shape category of topological spaces SSh can be defined using the coherent homotopy category CH and cofinite polyhedral resolutions of spaces. In the problem whether the Cartesian product $X\times P$ of a compact Hausdorf space <i>X</i> and a polyhedron <i>P</i> is a product in the category Sh, one encounters the difficulty that the natural polyhedral resolution, associated with <i>X × P</i>, is not a cofinite resolution. In the paper it is shown how one can overcome this difficulty.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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