Mountain climbing theorem
| Thesis title in Czech: | Mountain climbing theorem |
|---|---|
| Thesis title in English: | Mountain climbing theorem |
| Key words: | spojitá funkce, mountain climber, stejnoměrná konvergence, princip sudosti |
| English key words: | continuous function, mountain climber, uniform convergence, handshaking lemma |
| Academic year of topic announcement: | 2017/2018 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | doc. Mgr. Benjamin Vejnar, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 24.10.2017 |
| Date of assignment: | 24.10.2017 |
| Confirmed by Study dept. on: | 08.01.2018 |
| Date and time of defence: | 12.09.2018 09:00 |
| Date of electronic submission: | 19.07.2018 |
| Date of submission of printed version: | 20.07.2018 |
| Date of proceeded defence: | 12.09.2018 |
| Opponents: | RNDr. Václav Vlasák, Ph.D. |
| Guidelines |
| Student se seznámí s důkazem věty označované v literatuře jako Mountain climbing theorem. Pokusí se větu a důkaz zpracovat s vhodnými ilustracemi a bude se zabývat různými modifikacemi této věty. |
| References |
| Keleti, Tamás (1993), The mountain climbers' problem, Proceedings of the American Mathematical Society, 117 (1): 89–97.
Tucker, Alan (1995), The parallel climbers puzzle, Math Horizons, 3 (2): 22–24. Jiménez López, Víctor (1999), An elementary solution to the mountain climbers' problem, Aequationes Mathematicae, 57 (1): 45–49. |