20.500.12556/DKUM-38929 POTI V TOPOLOŠKIH PROSTORIH PATHS IN TOPOLOGY SPACES V diplomskem delu obravnavamo poti v topoloških prostorih in njihovo uporabo pri povezanosti in homotopiji. V prvem delu so navedeni osnovni pojmi iz topologije, ki so potrebni za razumevanje naslednjih poglavji o povezanosti. Pri povezanosti se posebej osredotočimo na povezanost s potmi. V zadnjem delu je predstavljena homotopija in homotopija poti, kar vodi do izreka o fundamentalni grupi, ki se obravnava kot uvod v algebrsko topologijo. In this work we present paths in topological spaces and their applications in connectedness and homotopy. The first section provides basic definitions of topology, which are very important for understanding the chapters that follow about connectedness. When studying connected topological spaces, we give special emphasis to path-conected spaces. The last part presents the homotopy and path homotopy, which leads to the concept of fundamental group, which is considered as an introduction to algebraic topology. topologija povezanost pot povezanost s potmi lokalna povezanost homotopija topology connectedness path connectedness local connectedness homotopy true true false [T. Bahč] Slovenski jezik Angleški jezik Diplomsko delo 2012-11-08 07:33:13 2012-12-04 16:32:48 2022-05-04 13:51:19 2021-04-20 03:41:30 2012 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 19535112 URN:SI:UM:DK:GBA7ALED UNI_Bahc_Tomaz_2012.pdf UNI_Bahc_Tomaz_2012.pdf 1 E0F1409B3E72676AC2E7A30AD7573D31 0933969af3a4cb7643b177a0c0615496fa91c068466612cc977d747c40e6de77 9b4ad8f7-7c08-11eb-bb7a-00155d0001ca 20.500.12556/dkum/c0f69e38-9095-439b-a127-bcca86abc498 https://dk.um.si/Dokument.php?lang=slv&id=52424 Fakulteta za naravoslovje in matematiko 0 0 0