Lastnost fiksne točke za drevesno uverižljive kontinuume

magistrsko delo

Abstract

Predstavimo drevesno uverižljive kontinuume in izreka o konstrukciji drevesno uverižljivega kontinuuma brez lastnosti fiksne točke z drevesnimi verigami v prostoru ali ravnini. Podamo tudi zgled konstrukcije prvih dveh drevesnih verig takšnega kontinuum v ravnini, če obstaja. Predstavimo še nekatere odprte probleme.

Keywords

magistrska dela;metrični prostor;kontinuum;fiksna točka;drevesno uverižljiv kontinuum;večlična funkcija;

Data

Language:	Slovenian
Year of publishing:	2019
Typology:	2.09 - Master's Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[T. Kac]
UDC:	515.124(043.2)
COBISS:	24834056
Views:	499
Downloads:	62
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	ǂThe ǂfixed point property for tree-like continua
Secondary abstract:	We present tree-like continua and prove two theorems about construction of tree-like continua which do not have the fixed point property using tree-chains in a three-dimentional space or a plane. We present an example of a construction of first two tree-chains of such a continuum in plane, if there is one. We also present some open problems.
Secondary keywords:	master theses;metric space;continuum;fixed point;tree-like continua;set-valued function;
Type (COBISS):	Master's thesis/paper
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	VIII, 56 f., 2 f. pril.
ID:	11196978