A quantitative homotopy-interleaving gap over the cyclic-four group algebra
Source: github.com/jfairfaxball-348/Homology-Homotopy-and-Applicati…
Over the group algebra F2[C4] of the cyclic group of order four in characteristic two, we give an explicit five-stage real-indexed persistence diagram F of unbounded chain complexes. Its stages are shifts of the periodic free resolution of the trivial module, on half-open intervals [i, i+1), with zero diagram before time 0 and from time 5 on. We compare three distances from F to the zero diagram: the homology interleaving distance (supremum over all degrees of the interleaving distances of the F2-homology persistence modules); the interleaving distance in an arbitrary localisation of the…
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