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Symmetrized and continuous generalization of transversals. (English) Zbl 0863.05078

The partial transversals of a finite family of sets form a matroid by a theorem of Edmonds and Fulkerson. In the paper an analogue (in the symmetrized and continuous case) of this result is shown for the case of \(\mathcal M\)-polytransversals introduced by the author in an earlier paper.

MSC:

05D15 Transversal (matching) theory
05B35 Combinatorial aspects of matroids and geometric lattices
52B40 Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.)
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