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Title: LASTNOST NEGIBNE TOČKE ZA UVERIŽLJIVE KONTINUUME Macarol, Mihaela (Author)Banič, Iztok (Mentor) More about this mentor... UNI_Macarol_Mihaela_2013.pdf (981,30 KB) Slovenian Undergraduate thesis (m5) 2.11 - Undergraduate Thesis FNM - Faculty of Natural Sciences and Mathematics 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. negibna točka, lastnost negibne točke, kontinuum, uverižljiv kontinuum 2013 [M. Macarol] Maribor 51(043.2) 19993096 URN:SI:UM:DK:M1GE5N4K 1109 60 FNM

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## Secondary language

Language: English THE FIXED POINT PROPERTY FOR CHAINABLE CONTINUA 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. fixed points, fixed point property, continua, chainable continua