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Title:
Digitalni prostori
Authors:
ID
Visočnik, Damijan
(
Author
)
ID
Banič, Iztok
(
Mentor
)
More about this mentor...
Files:
UN_Visocnik_Damijan_2016.pdf
(525,87 KB)
MD5: 7A896951CE6DF5778AD036D063415828
Language:
Slovenian
Work type:
Undergraduate thesis
Typology:
2.11 - Undergraduate Thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
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:
topologija
,
premica Halimskega
,
prostor z najmanjšimi okolicami
,
digitalni prostor
,
povezanost
,
topologija Halimskega
Place of publishing:
Maribor
Publisher:
[D. Visočnik]
Year of publishing:
2016
PID:
20.500.12556/DKUM-60300
UDC:
515.1(043.2)
COBISS.SI-ID:
22504200
NUK URN:
URN:SI:UM:DK:ND8IOOO3
Publication date in DKUM:
08.09.2016
Views:
1598
Downloads:
251
Metadata:
Categories:
FNM
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Secondary language
Language:
English
Title:
Digital spaces
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.
Keywords:
Keywords: topology
,
Khalimsky line
,
smallest-neighbourhood space
,
digital space
,
connectedness
,
Khalimsky topology
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