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Title:OHRANJANJE UVERIŽLJIVOSTI KONTINUUMOV GLEDE NA PRASLIKO KOMPLEKSNE KVADRATNE FUNKCIJE
Authors:Brumec, Jernej (Author)
Banič, Iztok (Mentor) More about this mentor... New window
Files:.pdf UNI_Brumec_Jernej_2012.pdf (751,42 KB)
 
Language:Slovenian
Work type:Undergraduate thesis (m5)
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V prvem delu diplomskega dela bomo najprej podali osnovne topološke pojme, ki jih bomo potrebovali. Predstavili bomo osnovne primere kontinuumov in podrobneje obravnavali uverižljive kontinuume oziroma kontinuume podobne loku. V drugem delu bomo proučevali pod katerimi pogoji je praslika s kompleksno kvadratno funkcijo od nekega kontinuuma uverižljiv kontinuum. Podali bomo tudi primere takih kontinuumov.
Keywords:kontinuum, uverižljivi kontinuumu, kontinuumi podobni loku, kompleksna ravnina, kompleksna kvadratna funkcija, praslika
Year of publishing:2012
Publisher:[B. Brumec]
Source:Maribor
UDC:51(043.2)
COBISS_ID:19441160 Link is opened in a new window
NUK URN:URN:SI:UM:DK:MBZJBV6Z
Views:997
Downloads:70
Metadata:XML RDF-CHPDL DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:PRESERVATION OF CHAINABILITY OF CONTINUA UPON TAKING A PREIMAGE UNDER THE COMPLEX SQUARING FUNCTION
Abstract:In the first part of graduation thesis we will first give the basic topological terms, which we will need later. We will present the basic examples of continua and discuss properties of chainable continua or arc-like continua. In the second part we will study the conditions under which the preimage of a continuum under complex squaring function is a chainable continuum. We will also give examples of such continua.
Keywords:continuum, chainable continua, arc-like continua, complex plane, complex squaring function, preimage


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