Extension dimension of a wide class of spaces

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概要

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• We prove the existence of extension dimension for a much expanded class of spaces. First we obtain several theorems which state conditions on a polyhedron or CW-complex K and a space X in order that X be an absolute co-extensor for K. Then we prove the existence of and describe a wedge representative of extension dimension for spaces in a wide class relative to polyhedra or CW-complexes. We also obtain a result on the existence of a “countable” representative of the extension dimension of a Hausdorff compactum.

• 2009-10-01

著者

• Rubin Leonard

  Department Of Mathematics University Of Oklahoma

• IVANSIC Ivan

  Department of Mathematics University of Zagreb

関連論文

• Extension dimension of a wide class of spaces

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