Izrek Monskega
delo diplomskega seminarja
Abstract
Glavni cilj diplomskega dela je dokaz izreka Monskega. Pomembni orodji za dokaz izreka sta Spernerjeva lema in p-adična norma. V delu zato predstavimo in dokažemo Spernerjevo lemo. p-adično normo definiramo na polju racionalnih števil in pokažemo, da jo je mogoče razširiti na realna števila.
Keywords
Spernerjeva lema;p-adična norma;razširitev polja;
Data
| Language: | Slovenian |
|---|---|
| Year of publishing: | 2020 |
| Typology: | 2.11 - Undergraduate Thesis |
| Organization: | UL FMF - Faculty of Mathematics and Physics |
| Publisher: | [V. Megušar] |
| UDC: | 512 |
| COBISS: |
58416131
|
| Views: | 973 |
| Downloads: | 164 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | English |
|---|---|
| Secondary title: | Monsky's Theorem |
| Secondary abstract: | The main goal of this work is to present a proof of Monsky's Theorem. Two of the important tools to prove the theorem are Sperner's lemma and p-adic norm. In the work we formulate and prove Sperner's lemma. We define p-adic norm on the field of rational numbers and show that it is possible to extend it to the field of real numbers. |
| Secondary keywords: | Sperner lemma;p-adic norm;field extension; |
| Type (COBISS): | Final seminar paper |
| Study programme: | 0 |
| Embargo end date (OpenAIRE): | 1970-01-01 |
| Thesis comment: | Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Matematika - 1. stopnja |
| Pages: | 29 str. |
| ID: | 11924499 |
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