Strong shape theory and resolutions |
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| Authors: | F Cathey J Segal |
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| Institution: | Department of Mathematics, University of Kansas, Lawrence, KS 66045, USA;Department of Mathematics, University of Washington, Seattle, WA 98195, USA |
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| Abstract: | It is shown that the strong shape theory of compact metrizable spaces extends to a theory for all topological spaces. The extension resembles the inverse systems approach to shape theory of Marde?i? and Segal. Fundamental roles are played by the Steenrod homotopy theory of Edwards and Hastings and the theory of ANR-resolutions due to Marde?i?. |
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| Keywords: | 18A40 54C55 54C56 55P55 55U35 |
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