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Escaping an Infinitude of Lions

Published 21 Dec 2020 in cs.CG, cs.GT, and cs.RO | (2012.11181v2)

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 $\varepsilon>0$.

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