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Title:
OHRANJANJE UVERIŽLJIVOSTI KONTINUUMOV GLEDE NA PRASLIKO KOMPLEKSNE KVADRATNE FUNKCIJE
Authors:
ID
Brumec, Jernej
(
Author
)
ID
Banič, Iztok
(
Mentor
)
More about this mentor...
Files:
UNI_Brumec_Jernej_2012.pdf
(751,42 KB)
MD5: D89F0A95588800C7BDCCD940CA79E8E6
PID:
20.500.12556/dkum/1d3a9d76-b033-4710-b2d4-5c796c979d7e
Language:
Slovenian
Work type:
Undergraduate thesis
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
Place of publishing:
Maribor
Publisher:
[B. Brumec]
Year of publishing:
2012
PID:
20.500.12556/DKUM-38801
UDC:
51(043.2)
COBISS.SI-ID:
19441160
NUK URN:
URN:SI:UM:DK:MBZJBV6Z
Publication date in DKUM:
24.10.2012
Views:
1961
Downloads:
127
Metadata:
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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