engleski

Extension dimension of stratifiable spaces

We prove a theorem on the existence of extension dimension for stratifiable spaces relative to the class of all CW-complexes. in order to achieve this we introduce the class of so called dd- spaces. We define X to be a dd.space if it has the property that dim X \leq K for every contractible CW-complex K. 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.

wedge ; cohomological dimension ; extension theory ; stratifiable space

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