20.500.12556/DKUM-43943 Preštevanje kompozantov kontinuumov Counting composants of continua Na začetku diplomskega dela bomo opisali nekatere topološke lastnosti in rezultate v zvezi z njimi. V drugem poglavju bomo definirali kontinuume in si pogledali nekaj osnovnih primerov le-teh. Prav tako si bomo ogledali zanimiv način konstrukcije nerazcepnih kontinuumov. V tretjem poglavju se bomo seznanili s tem, kaj so kompozanti kontinuumov in kakšno vlogo imajo ireducibilni kontinuumi pri tem. Na koncu bodo sledili najpomembnejši izreki o preštevanju kompozantov kontinuumov. At the beginning of the graduation thesis we describe basic concepts of topological properties and some results associated with them. In the second part we define the notion of a continua and get to look at some basic examples of these. We will also look at an interesting method of constructing indecomposable continua. In the third part we introduce the notion of composants of continua and how they are connected to irreducible continua. In the last part we present the most important theorems about counting the composants of continua. Kontinuum ireducibilni kontinuum kompozanti kontinuumov razcepen in nerazcepen kontinuum. Continuum Irreducible continuum Composants of continua Decomposable and indecomposable continuum. true true false [P. Škofič] Slovenski jezik Angleški jezik Diplomsko delo 2014-03-25 19:27:55 2014-04-09 15:11:06 2022-05-11 03:10:40 2021-04-30 03:17:59 2014 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.12(043.2) 20476680 URN:SI:UM:DK:WBVRYLZS UNI_Skofic_Peter_2014.pdf UNI_Skofic_Peter_2014.pdf 1 C3D1571F7C3BE5264E8E3A538E5AAA02 6ebe291e04ee647da680732430eb5dde72233a4dafdcfb75e19ab6456f5661fb bf6c240d-7c0a-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=62800 Fakulteta za naravoslovje in matematiko 0 0 0