Abstract Regular Polytopes

By P. McMullen, E. Schulte. 2003

325 citations recorded by the source corpus.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3a18feff74030cdca338e9bb2b3ea25b2b636f38

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Sergey Fomin
2. Andrei Zelevinsky
3. Ralf Schiffler
4. B. Keller
5. I. Reiten
6. Bernard Leclerc
7. Aslak Bakke Buan
8. Pierre-Guy Plamondon

Citations in the corpus

• Constructions for chiral polytopes (2008, background): “, ρn−1 which satisfy the relations (1) and condition (2), then there exists a polytope P with Γ(P) ∼= Γ; for more details, see [17].”
• Cluster algebras II: Finite type classification (2002, background): “3) can be restated as saying that ∆ is a (possibly infinite, simplicial) abstract polytope in the sense of [1] or [23]; another terminology is that ∆ is a thin, residually connected complex (see, e.”
• Asymptotically good Quantum and locally testable classical LDPC codes (2021, background): “12]), which generalizes the notion of an abstract simplicial complex and an abstract polytope [45].”