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Summary: Pursuit and evasion in non-convex domains
of arbitrary dimension
Stephanie Alexander
Department of Mathematics
University of Illinois
Urbana, IL 61801 USA
Richard Bishop
Department of Mathematics
University of Illinois
Urbana, IL 61801 USA
Robert Ghrist
Department of Mathematics and
Coordinated Sciences Laboratory
University of Illinois
Urbana, IL 61801 USA
Abstract-- Most results in pursuit-evasion games apply
only to planar domains or perhaps to higher-dimensional
domains which must be convex. We introduce a very
general set of techniques to generalize and extend certain
results on simple pursuit to non-convex domains of
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