Descriptive Cellular Homology

2018/01/05 by Muhammad Zubair Ahmad, Ahmad, M. Z., James F. Peters +1
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1801.01911

Abstract

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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• Equivariant cellular homology and its applications
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