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master's thesis
Lokalna izračunljivost
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:144123
Sušić, Igor
University of Zagreb
Faculty of Science
Department of Mathematics

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Sušić, I. (2015). Lokalna izračunljivost (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:144123

Sušić, Igor. "Lokalna izračunljivost." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:144123

Sušić, Igor. "Lokalna izračunljivost." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:144123

Sušić, I. (2015). 'Lokalna izračunljivost', Master's thesis, University of Zagreb, Faculty of Science, accessed 19 April 2024, https://urn.nsk.hr/urn:nbn:hr:217:144123

Sušić I. Lokalna izračunljivost [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 April 19] Available at: https://urn.nsk.hr/urn:nbn:hr:217:144123

I. Sušić, "Lokalna izračunljivost", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:144123

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Metadata
TitleLokalna izračunljivost
AuthorIgor Sušić
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberZvonimir Bujanović (član povjerenstva)
Committee memberRobert Manger (član povjerenstva)
Committee memberBoris Muha (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-07-13, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ukratko, rad je logički podijeljen u tri poglavlja. U prvom poglavlju govorimo općenito o izračunljivosti. U drugom poglavlju govorimo o izračunljivim metričkim prostorima. Nadalje, govorimo o rekurzivnim brojevima, gustim nizovima, rekurzivno prebrojivim skupovima, poluizračunljivim skupovima i navodimo mnoge rezultate iz teorije metričkih prostora s ciljem povezivanja sa teorijom izračunljivosti. U trećem poglavlju poopćavamo neke rezultate za izračunljive metričke prostore na izračunljive topološke prostore.
Abstract (english)
This paper is logically divided into three chapters. In the first chapter, we talk generally about computability. In the second chapter, we talk about computable metric spaces. Furthermore, we talk about recursive numbers, dense sequences, recursively enumerable sets, semi-computable sets and we state many results from the theory of metric spaces in order to establish some connections with the theory of computability. In the third chapter, we generalize some results for computable metric spaces to computable topological spaces.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:144123
Study programmeTitle: Computer Science and Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra računarstva i matematike (magistar/magistra računarstva i matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of the Faculty of Science
Created on2019-02-08 10:55:20

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