Applications of descriptive set theory in mathematical analysis
| Thesis title in Czech: | Aplikace deskriptivní teorie množin v matematické analýze |
|---|---|
| Thesis title in English: | Applications of descriptive set theory in mathematical analysis |
| Key words: | Determinovanost, nekonečné hry, pórovitost, unitární reprezentace grupy, akce grupy. |
| English key words: | Determinacy, infinite games, porosity, unitary group representations, group actions. |
| Academic year of topic announcement: | 2009/2010 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | doc. RNDr. Miroslav Zelený, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 29.09.2009 |
| Date of assignment: | 23.10.2009 |
| Date and time of defence: | 25.09.2013 09:00 |
| Date of electronic submission: | 19.06.2013 |
| Date of submission of printed version: | 20.06.2013 |
| Date of proceeded defence: | 25.09.2013 |
| Opponents: | doc. RNDr. Petr Holický, CSc. |
| RNDr. Jindřich Zapletal, DSc. | |
| Guidelines |
| V práci budou zkoumány možné aplikace deskriptivní teorie množin v reálné
a funkcionální analýze. Budou studovány možnosti použití nekonečných her v reálné analýze a také teorie definovatelných relací ekvivalence, např. v kontextu teorie Banachových algeber. |
| References |
| A.S.Kechris: Classical descriptive set theory, Springer-Verlag, 1994.
W. Arveson: An invitation to C*-algebras, Springer-Verlag, 1976. V. Kanovei: Borel equivalence relations. University Lecture Series, 44. AMS 2008. |