Metric and analytic methods
| Thesis title in Czech: | Metrické a analytické metody |
|---|---|
| Thesis title in English: | Metric and analytic methods |
| Key words: | nerealizovatelná funkce, lipschitzovské, bilipschitzovské, mřížové body, Feige, regulární zobrazení, Hanani-Tutte, projektivní rovina |
| English key words: | non-realisable function, Lipschitz, bilipschitz, grid points, Feige, regular mapping, Hanani-Tutte, projective plane |
| Academic year of topic announcement: | 2013/2014 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Department of Applied Mathematics (32-KAM) |
| Supervisor: | prof. RNDr. Martin Tancer, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 26.09.2014 |
| Date of assignment: | 26.09.2014 |
| Confirmed by Study dept. on: | 05.01.2015 |
| Date and time of defence: | 25.09.2018 00:00 |
| Date of electronic submission: | 21.06.2018 |
| Date of submission of printed version: | 21.06.2018 |
| Date of proceeded defence: | 25.09.2018 |
| Opponents: | Bruce Kleiner |
| Mgr. Radoslav Fulek, Ph.D. | |
| Advisors: | Univ.-Prof. Dr. Eva Kopecká |
| Guidelines |
| Investigate problems in discrete mathematics and theoretical computer science related to metric embeddings, Lipschitz maps and
similar topics. In particular, for the beginning, work on questions related to a problem of Feige on Lipschitz maps of separated sets onto a square grid. |
| References |
| Pertti Mattila: Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability, Cambridge University Press, Cambridge 1999
Jiri Matousek: Lectures on Discrete Geometry, Springer 2002 Jiri Matousek: Metric Embeddings, lecture notes, http://kam.mff.cuni.cz/~matousek/ba-a4.pdf |