20.500.12556/DKUM-10449 MOOROV IZREK O TRIODAH MOORE'S TRIOD THEOREM 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. 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. Kontinuum enostavna trioda trioda posplosena trioda enostavna sklenjena krivulja lok tocka kondenzacije domena interval loka. Continuum simple triod triod generalized triod simple closed curve arc condensation point domain segment. true true false [N. Vasle] Slovenski jezik Angleški jezik Diplomsko delo 2009-05-15 08:22:59 2009-05-27 14:02:36 2022-04-11 16:17:17 2022-04-16 03:27:35 2009 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 16876040 URN:SI:UM:DK:H2ARPRTE UNI_Vasle_Natasa_2009.pdf UNI_Vasle_Natasa_2009.pdf 1 80B8B338A7F3B83B4E2223DAF5A952A6 22b5a0fb349298143f2e12dcf3cdb95d450c3fc254e0f86c68c40d80dcd97ba6 d4cefd99-7c02-11eb-bb7a-00155d0001ca 20.500.12556/dkum/004e8594-eb45-4d90-ae4a-8ee319a94558 https://dk.um.si/Dokument.php?lang=slv&id=8541 Fakulteta za naravoslovje in matematiko 0 0 0