Finite polytopes have finite regular covers (Q402930)

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scientific article; zbMATH DE number 6335731
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Finite polytopes have finite regular covers
scientific article; zbMATH DE number 6335731

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    Finite polytopes have finite regular covers (English)
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    29 August 2014
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    Let \(P\) and \(Q\) be abstract \(n\)-polytopes. A covering is a rank and adjacency preserving homomorphism of \(P\) to \(Q\). In this article, the authors prove that any finite abstract \(n\)-polytope \(Q\) is covered by a finite abstract regular \(n\)-polytope \(P\).
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    abstract polytopes
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    regular polytopes
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    covers
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    monodromy group
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