In this paper we introduce a new notion -- the intersection of currents. It is defined as a strong limit of de Rham's homotopy regularization. The main result is that such an intersection exists and it extends known intersections in various categories.
Intersection of ACM-curves in P^3
Intersections of two Grassmannians in $\mathbf{P}^9$
Intersections of loci of admissible covers with tautological classes
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