Finite k-Transversals of Infinite Families of Fat Convex Sets

Sutanoya Chakraborty, Arijit Ghosh, Soumi Nandi

We prove an infinite $(p,q)$-theorem for piercing fat compact convex sets in $\RR^d$ with $k$-flats. Additionally, we develop a new framework through which infinite $(p,q)$-theorem…