Simplicial Sphere

(Topology)

Tech

sciences
Topology
Link to Dbpedia

What is Simplicial sphere?

In geometry and combinatorics, a simplicial (or combinatorial) d-sphere is a simplicial complex homeomorphic to the d-dimensional sphere. Some simplicial spheres arise as the boundaries of convex polytopes, however, in higher dimensions most simplicial spheres cannot be obtained in this way. One important open problem in the field was the g-conjecture, formulated by Peter McMullen, which asks about possible numbers of faces of different dimensions of a simplicial sphere. In December 2018, the g-conjecture was proven by Karim Adiprasito in the more general context of rational homology spheres.

Technology Types

algebraic combinatorictopology

Synonyms

Combinatorial sphereG-conjectureG-theorem

Translations

Симплициальная сфера (ru)نطاق مبسط (ar)

Tech Info


Sources: DBpedia
 — Date merged: 11/6/2021, 1:32:45 PM
 — Date scraped: 5/20/2021, 6:03:20 PM