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master's thesis
Dekompozicijski prostori
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:631850
Moker, Mihaela
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Moker, M. (2015). Dekompozicijski prostori (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:631850

Moker, Mihaela. "Dekompozicijski prostori." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:631850

Moker, Mihaela. "Dekompozicijski prostori." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:631850

Moker, M. (2015). 'Dekompozicijski prostori', Master's thesis, University of Zagreb, Faculty of Science, accessed 03 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:631850

Moker M. Dekompozicijski prostori [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 03] Available at: https://urn.nsk.hr/urn:nbn:hr:217:631850

M. Moker, "Dekompozicijski prostori", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:631850

Metadata
TitleDekompozicijski prostori
AuthorMihaela Moker
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberBoris Širola (član povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
Committee memberMiljenko Huzak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj diplomski rad podijeljen je na tri poglavlja. U prvom poglavlju definirani su osnovni pojmovi kao što su topologija, topološki prostor i baza topologije. Drugo se poglavlje sastoji od same teme ovog diplomskog rada, odnosno govori o dekompozicijskim prostorima. Ovdje je definirana dekompozicijska topologija, dekompozicijski prostori te su dani mnogobrojni primjeri navedenih prostora. Također, ovdje se govori i o Hausdorffovim prostorima. U trećem, završnom poglavlju, proučavan je poseban slučaj dekompozicijskog prostora koji se naziva kvocijentni prostor, točnije kvocijent topološkog prostora i skupa. Definirano je dekompozicijsko preslikavanje kao i kompaktnost te proučavana neka njihova svojstva.
Abstract (english)
This diploma thesis is divided in three chapters. Basic notions like topology, topological space and basis of topology are defined in the first chapter. The second chapter consists of the theme of this diploma thesis, more exactly it is talking about decomposition spaces. Decomposition topology and decomposition spaces are defined here and numerous examples of such spaces are given. This chapter also speaks of Hausdorff spaces. In third, final chapter, a special case of decomposition space is analyzed, also known as quotient space, more precisely quotient of topological space and set. Decomposition map is also defined here, as well as compactness and some of their properties.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:631850
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-01-25 12:31:21