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master's thesis
Topološki stupanj
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:480179
Štefanić, Lucija
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Štefanić, L. (2015). Topološki stupanj (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:480179

Štefanić, Lucija. "Topološki stupanj." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:480179

Štefanić, Lucija. "Topološki stupanj." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:480179

Štefanić, L. (2015). 'Topološki stupanj', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:480179

Štefanić L. Topološki stupanj [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:480179

L. Štefanić, "Topološki stupanj", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:480179

Metadata
TitleTopološki stupanj
AuthorLucija Štefanić
MentorEduard Marušić-Paloka (mentor)
Committee memberEduard Marušić-Paloka (predsjednik povjerenstva)
Committee memberBoris Širola (član povjerenstva)
Committee memberJuraj Šiftar (član povjerenstva)
Committee memberMirko Primc (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-02-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu uveden je pojam topološkog stupnja. Navedena su njegova osnovna svojstva te je opisana njegova konstrukcija. Konstrukcija se razlikuje ovisno o konačnosti dimenzije prostora na kojem je stupanj definiran. U slučaju konačne dimenzije topološki stupanj nazivamo Brouwerovim stupnjem, a u beskonačnodimenzionalnom slučaju Leray-Schauderov stupanj. Izneseni su neki važni teoremi koji podupiru teoriju stupnja kao što su Brouwerov teorem o fiksnoj točki te Schauderov teorem o fiksnoj točki. Kao primjer primjene stupnja naveden je topološki problem bifurkacije.
Abstract (english)
The objective of the present thesis is to define topological degree and it’s construction. Depending on the dimension of the space there are different constructions. In finitedimensional space we are talking about Brouwer’s degree, while in infinite-dimensional space it is Leray-Schauder’s degree. Important theorems for this theory are given. As an example for application of topological degree it is mentioned and explained topological problem of bifurcation.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:480179
Study programmeTitle: Finance and Business Mathematics
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 on2019-02-14 09:28:04