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master's thesis
Hindmanov teorem
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:222243
Drmić, Božidar Grgur
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Drmić, B. G. (2022). Hindmanov teorem (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:222243

Drmić, Božidar Grgur. "Hindmanov teorem." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:222243

Drmić, Božidar Grgur. "Hindmanov teorem." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:222243

Drmić, B. G. (2022). 'Hindmanov teorem', Master's thesis, University of Zagreb, Faculty of Science, accessed 28 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:222243

Drmić BG. Hindmanov teorem [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 December 28] Available at: https://urn.nsk.hr/urn:nbn:hr:217:222243

B. G. Drmić, "Hindmanov teorem", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:222243

Metadata
TitleHindmanov teorem
Title (english)Hindman's theorem
AuthorBožidar Grgur Drmić
MentorMladen Vuković (mentor)
Committee memberMladen Vuković (predsjednik povjerenstva)
Committee memberVedran Čačić (član povjerenstva)
Committee memberMarko Horvat (član povjerenstva)
Committee memberZvonko Iljazović (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2022-07-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Centralni dio ovoga rada dokaz je Hindmanovog teorema upotrebom strukture ultrafiltera. Za potrebe toga definiraju se pojmovi filtra i ultrafiltra te se navode primjeri i dokazuju neka njihova svojstva potrebna za dokaz Hindmanovog teorema. Također se uvode neki pojmovi iz topologije i dokazuju osnovni teoremi. Na samom kraju rada bez dokaza je navedeno nekoliko poopćenja i analogona Hindmanovog teorema.
Abstract (english)
Focus of this thesis is on proving the Hindman’s Theorem by utilising the structure of ultrafilters. Therefore, we define the concepts of filters and ultrafilters with examples and prove some of their properties required in order to prove Hindman’s Theorem. We also introduce some of the concepts from topology and prove some basic results. At the very end, we have listed some of the generalisations and analogous results of Hindman’s Theorem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:222243
Study programmeTitle: Mathematical Statistics
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 on2022-09-13 09:11:15