diplomsko delo
Tomaž Bahč (Author), Iztok Banič (Mentor)

Abstract

V diplomskem delu obravnavamo poti v topoloških prostorih in njihovo uporabo pri povezanosti in homotopiji. V prvem delu so navedeni osnovni pojmi iz topologije, ki so potrebni za razumevanje naslednjih poglavji o povezanosti. Pri povezanosti se posebej osredotočimo na povezanost s potmi. V zadnjem delu je predstavljena homotopija in homotopija poti, kar vodi do izreka o fundamentalni grupi, ki se obravnava kot uvod v algebrsko topologijo.

Keywords

diplomska dela;matematika;topologija;povezanost;homotopija;

Data

Language: Slovenian
Year of publishing:
Source: Maribor
Typology: 2.11 - Undergraduate Thesis
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
Publisher: [T. Bahč]
UDC: 51(043.2)
COBISS: 19535112 Link will open in a new window
Views: 1358
Downloads: 99
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: English
Secondary title: PATHS IN TOPOLOGY SPACES
Secondary abstract: In this work we present paths in topological spaces and their applications in connectedness and homotopy. The first section provides basic definitions of topology, which are very important for understanding the chapters that follow about connectedness. When studying connected topological spaces, we give special emphasis to path-conected spaces. The last part presents the homotopy and path homotopy, which leads to the concept of fundamental group, which is considered as an introduction to algebraic topology.
Secondary keywords: topology;connectedness;path connectedness;local connectedness;homotopy;
URN: URN:SI:UM:
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages: 34 f.
Keywords (UDC): mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID: 999863
Recommended works:
, diplomsko delo
, no subtitle data available
, theory and applications to economics and social systems
, Visiting Assistant Professor, 1.10.-31.12.2008, Ohio State University, Columbus, Ohio, USA
, študijsko gradivo