Faces and bases: Boolean intervals
Matveev, Andrey O.
Original · EN
We consider redundant analogues of the f- and h-vectors of simplicial complexes and present bases of Rᵐ⁺¹ related to these ``long'' f- and h-vectors describing the face systems from 2¹,...,ᵐ; we list the corresponding change of basis matrices. The representations of the long f- and h-vectors of a face system with respect to various bases are expressed based on partitions of the system into Boolean intervals.
English translation
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