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Title: OHRANJANJE UVERIŽLJIVOSTI KONTINUUMOV GLEDE NA PRASLIKO KOMPLEKSNE KVADRATNE FUNKCIJE Brumec, Jernej (Author)Banič, Iztok (Mentor) More about this mentor... UNI_Brumec_Jernej_2012.pdf (751,42 KB) Slovenian Undergraduate thesis (m5) 2.11 - Undergraduate Thesis FNM - Faculty of Natural Sciences and Mathematics 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. kontinuum, uverižljivi kontinuumu, kontinuumi podobni loku, kompleksna ravnina, kompleksna kvadratna funkcija, praslika 2012 [B. Brumec] Maribor 51(043.2) 19441160 URN:SI:UM:DK:MBZJBV6Z 997 70 FNM

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## Secondary language

Language: English PRESERVATION OF CHAINABILITY OF CONTINUA UPON TAKING A PREIMAGE UNDER THE COMPLEX SQUARING FUNCTION 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. continuum, chainable continua, arc-like continua, complex plane, complex squaring function, preimage

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