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4:10 AM
A new tag was created by Anguepa.
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Q: Families of sets with the FIP or finite set of transversals

AnguepaI've come with this question that I cannot answer. I've tried unsuccessfully to construct a counterexample. Let $\mathcal{F}$ be a family of sets such that any two sets in the family have nonempty intersection. One of the following must hold (1) $\mathcal{F}$ has the finite intersection prop...

I found the Wikipedia article Vapnik–Chervonenkis dimension - I'm not sure whether that's the intended meaning.
In Vapnik–Chervonenkis theory, the Vapnik–Chervonenkis (VC) dimension is a measure of the capacity (complexity, expressive power, richness, or flexibility) of a space of functions that can be learned by a statistical classification algorithm. It is defined as the cardinality of the largest set of points that the algorithm can shatter. It was originally defined by Vladimir Vapnik and Alexey Chervonenkis.Informally, the capacity of a classification model is related to how complicated it can be. For example, consider the thresholding of a high-degree polynomial: if the polynomial evaluates above zero...
 

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