Brouwerova věta o pevném bodě (přístupy a historie)

• Thesis title in Czech: Brouwerova věta o pevném bodě (přístupy a historie)
• Thesis title in English: Brouwer fixed point theorem (proofs and history)
• Key words: Brouwerova věta|Borsukova-Ulamova věta|The hairy ball problem|Základní věta algebry
• English key words: Brouwer theorem|Borsuk-Ulam theorem|The hairy ball problem|Fundamental theorem of algebra
• Academic year of topic announcement: 2020/2021
• Thesis type: Bachelor's thesis
• Thesis language: čeština
• Department: Department of Mathematical Analysis (32-KMA)
• Supervisor: prof. RNDr. Miroslav Hušek, DrSc.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 27.11.2020
• Date of assignment: 27.11.2020
• Confirmed by Study dept. on: 31.05.2022
• Date and time of defence: 07.09.2022 09:00
• Date of electronic submission: 21.07.2022
• Date of submission of printed version: 25.05.2022
• Date of proceeded defence: 07.09.2022
• Opponents: doc. Mgr. Benjamin Vejnar, Ph.D.

Guidelines

Prostudovat historii Brouwerovy věty (formulace a důkazy) o pevném bodě od Poincarého, Brouwera, Hadamarda, Knastera,... a uvést přehled různých přístupů k důkazům.

References

A.Granas, J.Dugundji: Fixed Point Theory, Springer 2003

Kulpa, W: The Poincaré-Miranda theorem, Amer. Math. Monthly 104 (1997), no. 6, 545–550.

Engelking R.: General Topology, Heldermann Verlag 1989