Three filtrations of tope spaces in oriented matroids are shown equivalent over Z/2Z, with the dual Varchenko-Gelfand filtration extended to a Z-sign cosheaf on the underlying matroid fan.
The homology and shellability of matroids and geometric lattices
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Filtrations of Tope Spaces of Oriented Matroids
Three filtrations of tope spaces in oriented matroids are shown equivalent over Z/2Z, with the dual Varchenko-Gelfand filtration extended to a Z-sign cosheaf on the underlying matroid fan.