On Arrangements of Pseudohyperplanes

Details On Arrangements of Pseudohyperplanes On Arrangements of Pseudohyperplanes

2012-01-05

arxiv.org/abs/1201.1306v1

Mathematics

Combinatorics

18 pages, 3 figures

Scientific paper

We study arrangements of pseudohyperplanes (hyperplanes that are topologically deformed in some mild way). In general these arrangements correspond to non-realizable oriented matroids and arise as a consequence of the Folkman-Lawrence Topological Representation Theorem. We introduce a topological space naturally associated with these pseudo arrangements that has the homotopy type of the associated Salvetti complex.

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