engleski

Extension Dimension of Stratifiable Spaces

It is proved a theorem on the existence of extension dimension for stratifiable spaces relative to the class of all CW complexes. Since the class of stratifiable spaces contains that of metrizable spaces, then this result applies to metrizable spaces. In order to achieve this, the class of so called dd-spaces is introduced. A wedge theorem for dd-spaces is then shown to be true. This is used in proving that the extension dimension of a given stratifiable space is always represented by a certain wedge of polyhedra. It is also shown that this techniques would apply to determine the existence of extension dimension for any class of compact Hausdorff spaces relative to the class of all CW- complexes.

extension dimension; stratifiable space; dd-spaces

nije evidentirano