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Title:
Lastnost fiksne točke za drevesno uverižljive kontinuume
Authors:
ID
Kac, Teja
(Author)
ID
Banič, Iztok
(Mentor)
More about this mentor...
Files:
MAG_Kac_Teja_2019.pdf
(706,87 KB)
MD5: B1180CE577ED729376B2E771660D8F1E
PID:
20.500.12556/dkum/201ce45c-208d-4f56-8f0c-a4c0d345cf33
Language:
Slovenian
Work type:
Master's thesis/paper
Typology:
2.09 - Master's Thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
Predstavimo drevesno uverižljive kontinuume in izreka o konstrukciji drevesno uverižljivega kontinuuma brez lastnosti fiksne točke z drevesnimi verigami v prostoru ali ravnini. Podamo tudi zgled konstrukcije prvih dveh drevesnih verig takšnega kontinuum v ravnini, če obstaja. Predstavimo še nekatere odprte probleme.
Keywords:
metrični prostor
,
kontinuum
,
fiksna točka
,
drevesno uverižljiv kontinuum
,
večlična funkcija
Place of publishing:
Maribor
Publisher:
[T. Kac]
Year of publishing:
2019
PID:
20.500.12556/DKUM-74087
UDC:
515.124(043.2)
COBISS.SI-ID:
24834056
NUK URN:
URN:SI:UM:DK:3KJBIRLV
Publication date in DKUM:
24.10.2019
Views:
998
Downloads:
109
Metadata:
Categories:
FNM
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:
KAC, Teja, 2019,
Lastnost fiksne točke za drevesno uverižljive kontinuume
[online]. Master’s thesis. Maribor : T. Kac. [Accessed 23 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=74087
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Licences
License:
CC BY-NC-SA 4.0, Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International
Link:
http://creativecommons.org/licenses/by-nc-sa/4.0/
Description:
A Creative Commons license that bans commercial use and requires the user to release any modified works under this license.
Licensing start date:
03.08.2019
Secondary language
Language:
English
Title:
The fixed point property for tree-like continua
Abstract:
We present tree-like continua and prove two theorems about construction of tree-like continua which do not have the fixed point property using tree-chains in a three-dimentional space or a plane. We present an example of a construction of first two tree-chains of such a continuum in plane, if there is one. We also present some open problems.
Keywords:
metric space
,
continuum
,
fixed point
,
tree-like continua
,
set-valued function
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