R^3 nemá druhou odmocninu
| Thesis title in Czech: | R^3 nemá druhou odmocninu |
|---|---|
| Thesis title in English: | No square root of R^3 |
| Key words: | Brouwerův stupeň, triangulace, malá induktivní dimenze |
| English key words: | Brouwer degree, triangulation, small inductive dimension |
| 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: | Mgr. Radovan Švarc - assigned and confirmed by the Study Dept. |
| Date of registration: | 15.12.2017 |
| Date of assignment: | 15.12.2017 |
| Confirmed by Study dept. on: | 08.01.2018 |
| Date and time of defence: | 12.09.2018 09:00 |
| Date of electronic submission: | 20.07.2018 |
| Date of submission of printed version: | 20.07.2018 |
| Date of proceeded defence: | 12.09.2018 |
| Opponents: | prof. RNDr. Miroslav Hušek, DrSc. |
| Guidelines |
| Student se seznámí s různými důkazy, že neexistuje topologický prostor,
jehož druhá mocnina by byla homeomorfní třídimenzionálnímu Euklidovskému prostoru. Dále se může zabývat souvisejícími otázkami podobného typu. |
| References |
| Engelking, Ryszard: Theory of dimensions finite and infinite.
Nadler, Sam B.: Another proof that R3 has no square root, Amer. Math. Monthly 111 (2004), 527–528. S. B. Nadler, Continuum Theory: An Introduction, 1992. |