Summary: | The Erd\H{o}s-P\'osa property relates parameters of covering and packing of
combinatorial structures and has been mostly studied in the setting of
undirected graphs. In this note, we use results of Chudnovsky, Fradkin, Kim,
and Seymour to show that, for every directed graph $H$ (resp.
strongly-connected directed graph $H$), the class of directed graphs that
contain $H$ as a strong minor (resp. butterfly minor, topological minor) has
the vertex-Erd\H{o}s-P\'osa property in the class of tournaments. We also prove
that if $H$ is a strongly-connected directed graph, the class of directed
graphs containing $H$ as an immersion has the edge-Erd\H{o}s-P\'osa property in
the class of tournaments.
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