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Title:
MOOROV IZREK O TRIODAH
Authors:
ID
Vasle, Nataša
(Author)
ID
Milutinović, Uroš
(Mentor)
More about this mentor...
Files:
UNI_Vasle_Natasa_2009.pdf
(360,60 KB)
MD5: 80B8B338A7F3B83B4E2223DAF5A952A6
PID:
20.500.12556/dkum/004e8594-eb45-4d90-ae4a-8ee319a94558
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
Moorov izrek o triodah pravi, da v ravnini obstaja le števno mnogo disjunktnih enostavnih triod. Enostavna trioda je prostor, homeomorfen črki T. Najprej bomo ponovili nekaj osnovnih definicij in izrekov iz področja topologije, nato bomo dokazali izrek o enostavnih triodah. Sledilo bo glavno poglavje, v katerem bomo preverili veliko trditev in dokazali Moorov izrek. V naslednjem poglavju se bomo ukvarjali z različnimi posplošitvami Moorovega izreka o triodah, v zadnjem poglavju pa sledijo primeri konkretne uporabe tega izreka pri dokazovanju obnašanja različnih funkcij na robu definicijskega območja.
Keywords:
Kontinuum
,
enostavna trioda
,
trioda
,
posplosena trioda
,
enostavna sklenjena krivulja
,
lok
,
tocka kondenzacije
,
domena
,
interval loka.
Place of publishing:
Maribor
Publisher:
[N. Vasle]
Year of publishing:
2009
PID:
20.500.12556/DKUM-10449
UDC:
51(043.2)
COBISS.SI-ID:
16876040
NUK URN:
URN:SI:UM:DK:H2ARPRTE
Publication date in DKUM:
27.05.2009
Views:
2718
Downloads:
153
Metadata:
Categories:
FNM
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:
VASLE, Nataša, 2009,
MOOROV IZREK O TRIODAH
[online]. Bachelor’s thesis. Maribor : N. Vasle. [Accessed 23 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=10449
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Secondary language
Language:
English
Title:
MOORE'S TRIOD THEOREM
Abstract:
Moore's triod theorem says, that there exists only a countable number of mutually exclusive simple triods in the plane. Simple triod is a space, that is homeomorfic to letter T. At first we will repeat some of the basic facts of topology, than we will prove the theorem of simple triods. Then it follows the basic chapter in which we will confirm many statements and prove Moore's triod theorem. In the next chapter we will be occupied with diferent generalisations of Moore's triod theorem, in the last chapter there will follow examples of concrete use of Moore's triod theorem to prove the boundary behavior of some maps.
Keywords:
Continuum
,
simple triod
,
triod
,
generalized triod
,
simple closed curve
,
arc
,
condensation point
,
domain
,
segment.
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