Families of sets in R^d whose homological shatter function is bounded by a slowly growing function have the fractional Helly property, proved using new graded Radon and Helly numbers.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cs.CG 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
A fractional Helly theorem for set systems with slowly growing homological shatter function
Families of sets in R^d whose homological shatter function is bounded by a slowly growing function have the fractional Helly property, proved using new graded Radon and Helly numbers.