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Title:
LASTNOST NEGIBNE TOČKE ZA UVERIŽLJIVE KONTINUUME
Authors:
ID
Macarol, Mihaela
(
Author
)
ID
Banič, Iztok
(
Mentor
)
More about this mentor...
Files:
UNI_Macarol_Mihaela_2013.pdf
(981,30 KB)
MD5: 69E44FB44E2DBBB47254A6B1BD23A5E2
Language:
Slovenian
Work type:
Undergraduate thesis
Typology:
2.11 - Undergraduate Thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
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 rezutati. 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:
negibna točka
,
lastnost negibne točke
,
kontinuum
,
uverižljiv kontinuum
Place of publishing:
Maribor
Publisher:
[M. Macarol]
Year of publishing:
2013
PID:
20.500.12556/DKUM-40920
UDC:
51(043.2)
COBISS.SI-ID:
19993096
NUK URN:
URN:SI:UM:DK:M1GE5N4K
Publication date in DKUM:
17.07.2013
Views:
2202
Downloads:
150
Metadata:
Categories:
FNM
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Secondary language
Language:
English
Title:
THE FIXED POINT PROPERTY FOR CHAINABLE CONTINUA
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.
Keywords:
fixed points
,
fixed point property
,
continua
,
chainable continua
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