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 Orlik-Solomon algebra and the Bergman fan of a matroid
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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.