The authors prove that any point configuration whose convex-hull intersection combinatorics is captured by a Radon pair yields a Fan-type covering or labeling theorem for the sphere, and derive colorful, continuous, and (Z/2)^2-equivariant versions.
Sigma8(2020), e5
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CO 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Covering and labeling generalizations of the Borsuk-Ulam theorem
The authors prove that any point configuration whose convex-hull intersection combinatorics is captured by a Radon pair yields a Fan-type covering or labeling theorem for the sphere, and derive colorful, continuous, and (Z/2)^2-equivariant versions.