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undergraduate thesis
Redni i kardinalni brojevi. Hipoteza kontinuuma
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. urn:nbn:hr:126:596175
Krizmanić, Antonio
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Krizmanić, A. (2019). Redni i kardinalni brojevi. Hipoteza kontinuuma (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:596175

Krizmanić, Antonio. "Redni i kardinalni brojevi. Hipoteza kontinuuma." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:596175

Krizmanić, Antonio. "Redni i kardinalni brojevi. Hipoteza kontinuuma." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:596175

Krizmanić, A. (2019). 'Redni i kardinalni brojevi. Hipoteza kontinuuma', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 22 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:596175

Krizmanić A. Redni i kardinalni brojevi. Hipoteza kontinuuma [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2024 December 22] Available at: https://urn.nsk.hr/urn:nbn:hr:126:596175

A. Krizmanić, "Redni i kardinalni brojevi. Hipoteza kontinuuma", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:596175

Metadata
TitleRedni i kardinalni brojevi. Hipoteza kontinuuma
Title (english)Ordinal and Cardinal Numbers. Continuum Hypothesis
AuthorAntonio Krizmanić
MentorMihaela Ribičić Penava (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2019-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Pobliža objašnjenja pojmova rednih i kardinalnih brojeva i njihove povezanosti s hipotezom kontinuuma, dokazi njihovih osnovnih svojstava i svojstava kardinalne i ordinalne aritmetike te ukratko opisan proces dokaza neovisnosti hipoteze kontinuuma od Zermelo–Fraenkelove teorije skupova čine okosnicu ovoga rada. Svrha ovoga rada, koja se očituje kroz detaljna objašnjenja toka misli i zaključaka u dokazima teorema te u općim razmatranjima pojmova koji se uvode, čitatelja je postupno, na pristupačan i jasan način, upoznati s apstraktnim pojmovima rednih i kardinalnih brojeva te kompleksnim tumačenjem hipoteze kontinuuma postavljajući tako temelj za njihova daljnja izučavanja.
Abstract (english)
Closer explanation of the concepts of ordinal and cardinal numbers as well as their relationship to the continuum hypothesis, proofs of their fundamental properties and the properties of cardinal and ordinal arithmetic and the brief description of proving the independence of continuum hypothesis from Zermelo-Fraenkel set theory make up the framework of this paper. The purpose of this paper, which manifests itself in detailed explanations of thought processes and ideas throughout the proofs of theorems as well as general examination of terms which are defined, is to gradually introduce the reader to abstract concepts of ordinal and cardinal numbers and complex analysis of continuum hypothesis, setting the foundations for further research.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:596175
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2019-10-15 06:03:40