For n large enough, the product of the sizes of two ℓ-weakly cross t-intersecting families of k- and k'-dimensional subspaces is at most the product of two Gaussian binomial coefficients.
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On $\ell$-weakly cross $t$-intersecting families for sets and vector spaces
For n large enough, the product of the sizes of two ℓ-weakly cross t-intersecting families of k- and k'-dimensional subspaces is at most the product of two Gaussian binomial coefficients.