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math.CO2020
Large equilateral sets in subspaces of of small codimension
Nora Frankl
For fixed we prove exponential lower bounds on the equilateral number of subspaces of of codimension . In particular, we show that if the unit ball of a no…
math.CO2020
VC-saturated set systems
Nóra Frankl, Sergei Kiselev, Andrey Kupavskii +1
The well-known Sauer lemma states that a family of VC-dimension at most has size at most . We obtain both random and ex…