摘要
The lion and man game on a compact metric space is considered. Both players have the equal speeds. Suppose that 1) for all pairs of points there exists a unique geodesic connecting this points; 2) every geodesic continuously depends on its own endpoints. Then the strategy of simple pursuit guarantees the ε -capture. In particular, this implies the same result for CAT(0) domains.
投稿的翻译标题 | LION AND MAN GAME ON A COMPACT METRIC SPACE |
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源语言 | Russian |
页(从-至) | 1546-1549 |
页数 | 4 |
期刊 | Вестник Тамбовского университета. Серия: Естественные и технические науки |
卷 | 20 |
期 | 5 |
州 | Published - 2015 |
GRNTI
- 27.37.00
Level of Research Output
- VAK List