Ohranjanje uverižljivosti kontinuumov glede na prasliko kompleksne kvadratne funkcije

Jernej Brumec (Author), Iztok Banič (Mentor)

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

diplomska dela;kontinuum;kompleksna ravnina;kvadratne funkcije;

Data

Language:	Slovenian
Year of publishing:	2012
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[B. Brumec]
UDC:	51(043.2)
COBISS:	19441160
Views:	1313
Downloads:	88
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	PRESERVATION OF CHAINABILITY OF CONTINUA UPON TAKING A PREIMAGE UNDER THE COMPLEX SQUARING FUNCTION
Secondary 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.
Secondary keywords:	continuum;chainable continua;arc-like continua;complex plane;complex squaring function;preimage;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	IX, 39 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID:	999344