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master's thesis
Cantorov skup
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:693466
Bašić, Magdalena
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Bašić, M. (2017). Cantorov skup (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:693466

Bašić, Magdalena. "Cantorov skup." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:693466

Bašić, Magdalena. "Cantorov skup." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:693466

Bašić, M. (2017). 'Cantorov skup', Master's thesis, University of Zagreb, Faculty of Science, accessed 28 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:693466

Bašić M. Cantorov skup [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 December 28] Available at: https://urn.nsk.hr/urn:nbn:hr:217:693466

M. Bašić, "Cantorov skup", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:693466

Metadata
TitleCantorov skup
AuthorMagdalena Bašić
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberPavle Pandžić (član povjerenstva)
Committee memberNikola Sandrić (član povjerenstva)
Committee memberLjiljana Arambašić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2017-11-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu proučavali smo Cantorov skup i Cantorov prostor i neka njihova zanimljiva svojstva. Definirali smo neke pojmove u metričkim i topološkim prostorima, kao što su povezanost, kompaktnost, separirani skupovi, totalna nepovezanost, Hausdorffovi i normalni prostori, te dokazali neke tvrdnje s njima u vezi. Posebno smo se koncentrirali na totalno nepovezane kompaktne prostore, kakav je i Cantorov prostor.
Abstract (english)
In this thesis we have studied the Cantor set and the Cantor space and some of their interesting properties. We have defined some notions in metric and topological spaces, such as connectedness, compactness, separated sets, total disconnectedness, Hausdorff and normal spaces, and proved some facts related to them. In particular, we have concentrated on totally disconnected compact spaces, an example of which is the Cantor space.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:693466
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2018-05-23 10:18:59