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
Nonexistence of colimits in naive discrete homotopy theory.Appl
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AT 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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