Digitalni prostori

diplomsko delo

Damijan Visočnik (Author), Iztok Banič (Mentor)

Abstract

V diplomskem delu so obravnavani digitalni prostori opremljeni s topologijo Halimskega in njihove topološke lastnosti. V prvem delu so podani uvodni pojmi topologije, ki so potrebni za dokazovanje izrekov in razumevanje naslednjih poglavij o digitalnih prostorih. V digitalnih prostorih se osredotočimo na premico Halimskega in njene topološke lastnosti. V zadnjem delu se posvetimo n-prostoru Halimskega in karakterizacijam zveznih funkcij na njem.

Keywords

diplomska dela;topologija;premica Halimskega;prostor z najmanjšimi okolicami;digitalni prostor;povezanost;topologija Halimskega;

Data

Language:	Slovenian
Year of publishing:	2016
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[D. Visočnik]
UDC:	515.1(043.2)
COBISS:	22504200
Views:	1017
Downloads:	77
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Digital spaces
Secondary abstract:	In Graduation Thesis we are dealing with digital spaces equipped with the Khalimsky topology and their topological properties. In the first part we introduce some basic concepts of topology, which we need later for proving theorems and understanding the chapters that follow about the digital spaces. We focus on the Khalimsy line and its topological properties. The last part is dedicated to Khalimsky n-space and some caracterizations of continuous functions on it.
Secondary keywords:	theses;topology;Khalimsky line;smallest-neighbourhood space;digital space;connectedness;Khalimsky topology;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	37 f.
ID:	9150380