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Abstract:We consider the following game played in the Euclidean plane: There is any countable set of unit speed lions and one fast man who can run with speed $1+\varepsilon$ for some value $\varepsilon>0$. Can the man survive? We answer the question in the affirmative for any $\varepsilon>0$.
* Am. Math. Mon., 2020, 127(10): 880-896 * Published in American Mathematical Monthly, but references [5] and
[10] are new. For a preliminary version, see arXiv:1703.03687