{"id":"palomar/PALOMAR-2026-11-03-000022","url":"https://github.com/jfairfaxball-348/Homology-Homotopy-and-Applications/tree/f35677b710df2de38b2ef237b40ca4ad7ff7298b","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-11-03-000022-v1.json","repo":"https://github.com/jfairfaxball-348/Homology-Homotopy-and-Applications","tags":["math.AT","math.CT","msc:55N31","msc:18G80","msc:55U35","msc:20J06","msc:55U15"],"score":0,"title":"A quantitative homotopy-interleaving gap over the cyclic-four group algebra","trust":"high","domain":"math.AT","source":"palomar","authors":["John Fairfax-Ball"],"reviews":0,"subject":"math.AT","summary":"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…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-11-03","reactions":{},"formalized":true}