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arxiv: 1801.01911 · v1 · submitted 2018-01-05 · 🧮 math.GT

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Descriptive Cellular Homology

M.Z. Ahmad , J.F. Peters
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classification 🧮 math.GT
keywords cellulardescriptivehomologytopologyapplicationarticlebundlecell
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This article introduces descriptive cellular homology on cell complexes, which is an extension of J.H.C. Whitehead's CW topology. A main result is that a descriptive cellular complex is a topology on fibres in a fibre bundle. An application of two forms of cellular homology is given in terms of the persistence of shapes in CW spaces.

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