The paper asserts that nerves of separated d-interval families are (2d-1)-collapsible, yielding Helly-type theorems for the associated convexity spaces.
Transversal numbers for hypergraphs arising in geometry
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2025 1verdicts
REJECT 1representative citing papers
citing papers explorer
-
Helly-type theorems for separated $d$-intervals
The paper asserts that nerves of separated d-interval families are (2d-1)-collapsible, yielding Helly-type theorems for the associated convexity spaces.