Classification of arrangements by the number of their cells (Q1196364)
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scientific article; zbMATH DE number 78491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of arrangements by the number of their cells |
scientific article; zbMATH DE number 78491 |
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Classification of arrangements by the number of their cells (English)
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14 December 1992
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Associated with an arrangement \(\mathcal A\) of \(n\) lines in the real projective plane \(\mathcal P\) is the 2-dimensional cell complex in \(\mathcal P\) consisting of the vertices, edges and cells of \(\mathcal A\). The paper characterizes all pairs \((n,f)\) of integers for which there is an arrangement in \(\mathcal P\) with exactly \(n\) lines and \(f\) cells.
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arrangement of \(n\) lines
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real projective plane
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0.85862654
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0.8585421
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0.8579364
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0.84549004
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0.83930546
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0.8370235
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0.8368633
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0.83627903
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0.8359792
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