Absolute and non-absolute F-Borel spaces
| Thesis title in Czech: | Absolutně a neabsolutně F-borelovské prostory |
|---|---|
| Thesis title in English: | Absolute and non-absolute F-Borel spaces |
| Key words: | deskriptivní složitost, kompaktifikace, F-borelovská množina, absolutní složitost |
| English key words: | descriptive complexity, compactification, F-Borel set, absolute Complexity |
| Academic year of topic announcement: | 2018/2019 |
| Thesis type: | rigorosum thesis |
| Thesis language: | angličtina |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | prof. RNDr. Ondřej Kalenda, Ph.D., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 02.10.2018 |
| Date of assignment: | 02.10.2018 |
| Confirmed by Study dept. on: | 02.10.2018 |
| Date and time of defence: | 16.10.2018 00:00 |
| Date of electronic submission: | 03.10.2018 |
| Date of submission of printed version: | 03.10.2018 |
| Date of proceeded defence: | 16.10.2018 |
| Guidelines |
| Student bude zkoumat zejména K-analytické prostory a jejich podtřídy, s důrazem na jejich využití ke studiu Banachových prostorů a jejich slabých topologií. |
| References |
| [1] Argyros, S. A.; Arvanitakis, A. D.; Mercourakis, S. K. Talagrand's K_sigmadelta problem. Topology Appl. 155 (2008), no. 15, 1737-1755.
[2] Argyros, S. A.; Arvanitakis, A. D.; Mercourakis, S. K. Reznichenko families of trees and their applications. J. Math. Anal. Appl. 350 (2009), no. 2, 792--810. [3] Fabian, Marián J. Gâteaux differentiability of convex functions and topology. Weak Asplund spaces. Canadian Mathematical Society Series of Monographs and Advanced Texts. A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1997. xiv+180 pp. ISBN: 0-471-16822-X [4] Mercourakis, Sophocles. On weakly countably determined Banach spaces. Trans. Amer. Math. Soc. 300 (1987), no. 1, 307-327. Další zejména časopisecká literatura dle potřeby. |