On the topology of the Baues poset of polyhedral subdivisions (Q1599621)
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scientific article; zbMATH DE number 1750410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the topology of the Baues poset of polyhedral subdivisions |
scientific article; zbMATH DE number 1750410 |
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On the topology of the Baues poset of polyhedral subdivisions (English)
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5 June 2002
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Given an affine projection \(\pi:P\to Q\) of convex polytopes, let \(\omega(P,Q)\) be the refinement poset of proper polyhedral subdivisions of \(Q\) which are induced by \(\pi\). The authors prove that the inclusion into \(\omega(P,Q)\) of the spherical subposet of \(\pi\)-coherent subdivisions induces injections in homology and homotopy, implying in particular that the poset \(\omega(P,Q)\) is homotopically nontrivial. Some applications of these results are given.
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poset topology
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Baues problem
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oriented matroid
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polytopes
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polyhedral subdivisions
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