Lastnost negibne točke za uverižljive kontinuume

diplomsko delo

Mihaela Macarol (Author), Iztok Banič (Mentor)

Abstract

V diplomskem delu je predstavljena lastnost negibne točke. Kot glavni rezultat je ta lastnost dokazana za uverižljive kontinuume. V prvem poglavju so definirani osnovni topološki pojmi in rezultati. Drugo poglavje je rezervirano za predstavitev primerov prostorov z lastnostjo negibne točke in rezultatov povezanih s to lastnostjo. V tretjem poglavju si lahko ogledamo, kaj pomeni lastnost negibne točke za dendroide. Četrto poglavje, kot najpomembnejše, govori o lastnosti negibne točke za uverižljive kontinuume. V zadnjem poglavju je predstavljenih nekaj odprtih problemov.

Keywords

diplomska dela;negibna točka;kontinuum;uverižljiv kontinuum;

Data

Language:	Slovenian
Year of publishing:	2013
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[M. Macarol]
UDC:	51(043.2)
COBISS:	19993096
Views:	1466
Downloads:	88
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	THE FIXED POINT PROPERTY FOR CHAINABLE CONTINUA
Secondary abstract:	In the graduation thesis we introduce the fixed point property. As the main result, this property is presented for chainable continua. In the first chapter we define the basic topological terms and prove some results. The second chapter is reserved for a presentation of examples of spaces with fixed point property and other results regarding the fixed point property. In the third chapter we study the fixed point property on dendroids. The fifth chapter is the most important chapter. Here we prove that all chainable continua have the fixed point property. In the last chapter we introduce same open problems of the fixed point property.
Secondary keywords:	fixed points;fixed point property;continua;chainable continua;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	40 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID:	81885