Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
triangulated simplex
|
| gptkbp:field |
gptkb:topology
combinatorics |
| gptkbp:generalizes |
gptkb:pigeonhole_principle
|
| gptkbp:hasApplication |
game theory
fair division |
| https://www.w3.org/2000/01/rdf-schema#label |
Sperner's lemma
|
| gptkbp:namedAfter |
gptkb:Emanuel_Sperner
|
| gptkbp:relatedTo |
gptkb:Brouwer_fixed-point_theorem
gptkb:Knaster–Kuratowski–Mazurkiewicz_lemma combinatorial topology |
| gptkbp:sentence |
Every Sperner coloring of a triangulated simplex contains a cell colored with all colors.
|
| gptkbp:statedIn |
1928
|
| gptkbp:type |
existence theorem
|
| gptkbp:usedIn |
proof of Brouwer fixed-point theorem
|
| gptkbp:bfsParent |
gptkb:Brouwer_fixed-point_theorem
|
| gptkbp:bfsLayer |
6
|