Manifold structures on abstract regular polytopes

DOI10.1007/BF01827926zbMath0817.51009OpenAlexW2075501342MaRDI QIDQ1345327

Ulrich Brehm, Egon Schulte, Wolfgang Kuehnel

Publication date: 13 August 1995

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182469

zbMATH Keywords

decompositionabstract regular polytopemanifold structuretoroidal polytopes

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) General geometric structures on low-dimensional manifolds (57M50)

Related Items (3)

Flat regular polytopes ⋮ Equilibrium decompositions of 4‐manifolds and abstract regular 5‐polytopes ⋮ Cube-like incidence complexes and their groups

Cites Work

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• Über Heegaard-Diagramme
• Regular polytopes of type \{4,4,3\} and \{4,4,4\}
• Regular polyhedra - old and new
• Topologische Untersuchung der Diskontinuitätsbereiche endlicher Bewegungsgruppen des dreidimensionalen sphärischen Raumes
• Reguläre Inzidenzkomplexe. I
• Amalgamation of Regular Incidence-Polytopes
• Combinatorially regular polytopes

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