Topološki Radonov izrek

delo diplomskega seminarja

Evgenija Burger (Author), Petar Pavešić (Mentor)

Abstract

Radonov izrek in njegova topološka posplošitev med sabo povezujeta pojme iz kombinatorike, geometrije, algebre in topologije. Medtem ko lahko Radonov izrek enostavno dokažemo z nekaj linearne algebre, sloni dokaz topološke različice na Borsuk-Ulamovem izreku, ki pa velja za enega pomembnejših eksistenčnih izrekov v topologiji.

Keywords

matematika;topološki Radonov izrek;Borsuk-Ulamov izrek;Van Kampen- Floresov izrek;simpleks;

Data

Language:	Slovenian
Year of publishing:	2021
Typology:	2.11 - Undergraduate Thesis
Organization:	UL FMF - Faculty of Mathematics and Physics
Publisher:	[E. Burger]
UDC:	515.1
COBISS:	77402883
Views:	916
Downloads:	77
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Topological Radon Theorem
Secondary abstract:	Radon's theorem and its topological generalization link together conncepts from combinatorics, geometry, algebra and topology. While Radon's theorem is easy to prove with the help of linear algebra, the proof of topological Radon's theorem requires the use of Borsuk-Ulam theorem, which is an existence theorem with great significance in topology.
Secondary keywords:	mathematics;topological Radon theorem;Borsuk-Ulam theorem;Van Kampen-Flores theorem;simplex;
Type (COBISS):	Final seminar paper
Study programme:	0
Thesis comment:	Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Matematika - 1. stopnja
Pages:	28 str.
ID:	13424980