Abstract
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.
| Translated title of the contribution | LION AND MAN GAME ON A COMPACT METRIC SPACE |
|---|---|
| Original language | Russian |
| Pages (from-to) | 1546-1549 |
| Number of pages | 4 |
| Journal | Вестник Тамбовского университета. Серия: Естественные и технические науки |
| Volume | 20 |
| Issue number | 5 |
| Publication status | Published - 2015 |
GRNTI
- 27.37.00
Level of Research Output
- VAK List