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undergraduate thesis
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Compact Spaces
Antonio Jovanović (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document

Jovanović, A. (2019). Kompaktni prostori (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:772156

Jovanović, Antonio. "Kompaktni prostori." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:772156

Jovanović, Antonio. "Kompaktni prostori." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:772156

Jovanović, A. (2019). 'Kompaktni prostori', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 26 January 2020, https://urn.nsk.hr/urn:nbn:hr:126:772156

Jovanović A. Kompaktni prostori [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2020 January 26] Available at: https://urn.nsk.hr/urn:nbn:hr:126:772156

A. Jovanović, "Kompaktni prostori", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:772156

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Metadata
TitleKompaktni prostori
Title (english)Compact Spaces
AuthorAntonio Jovanović
MentorDragan Jukić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Algebra and Calculus Research Group)
Osijek
Defense date and country2019-09-18, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U ovom zavšnom radu ćemo definirati pojam kompaktnosti topološkog prostora. Dokazat ćemo neka svojstva kompaktnih prostora i njihovih podskupova. Također ćemo pokazati kako se neprekidne funkcije ponašaju na kompaktnim prostorima. Proučit ćemo svojstva metričkih prostora i na kraju karatkerizirati lokalno kompaktne prostore.
Abstract (english)
In this bachelor’s thesis we will define compactness of a topological space. We will prove some properties of compact spaces and their subsets. Also, we will show how continuous functions behave on compact spaces. Some properties of metric spaces will be analyzed and in the end we will characterise locally compact spaces.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:772156
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
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-09-19 07:17:27