Defines bigraded path homology from the MPSS connecting magnitude and path homology, proves it and all MPSS pages satisfy excision and Kunneth theorems, establishes Mayer-Vietoris for magnitude and bigraded versions, builds a cofibration category with bigraded isomorphisms as weak equivalences, and
The magnitude of metric spaces.Doc
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Bigraded path homology and the magnitude-path spectral sequence
Defines bigraded path homology from the MPSS connecting magnitude and path homology, proves it and all MPSS pages satisfy excision and Kunneth theorems, establishes Mayer-Vietoris for magnitude and bigraded versions, builds a cofibration category with bigraded isomorphisms as weak equivalences, and