20.500.12556/DKUM-60300 Digitalni prostori Digital spaces V diplomskem delu so obravnavani digitalni prostori opremljeni s topologijo Halimskega in njihove topološke lastnosti. V prvem delu so podani uvodni pojmi topologije, ki so potrebni za dokazovanje izrekov in razumevanje naslednjih poglavij o digitalnih prostorih. V digitalnih prostorih se osredotočimo na premico Halimskega in njene topološke lastnosti. V zadnjem delu se posvetimo n-prostoru Halimskega in karakterizacijam zveznih funkcij na njem. In Graduation Thesis we are dealing with digital spaces equipped with the Khalimsky topology and their topological properties. In the first part we introduce some basic concepts of topology, which we need later for proving theorems and understanding the chapters that follow about the digital spaces. We focus on the Khalimsy line and its topological properties. The last part is dedicated to Khalimsky n-space and some caracterizations of continuous functions on it. topologija premica Halimskega prostor z najmanjšimi okolicami digitalni prostor povezanost topologija Halimskega Keywords: topology Khalimsky line smallest-neighbourhood space digital space connectedness Khalimsky topology true true false [D. Visočnik] Slovenski jezik Angleški jezik Diplomsko delo 2016-06-13 21:43:08 2016-09-08 13:06:57 2022-06-23 03:09:59 2019-07-11 11:42:01 2016 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.1(043.2) 22504200 URN:SI:UM:DK:ND8IOOO3 UN_Visocnik_Damijan_2016.pdf UN_Visocnik_Damijan_2016.pdf 1 7A896951CE6DF5778AD036D063415828 554d69d089eee01627ece5fc74e7196596d0cc375114d1640c8e80701a747cbc b1bbae02-7c0c-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=94417 Fakulteta za naravoslovje in matematiko 0 0 0