Iztok Banič (Author), Matevž Črepnjak (Author), Matej Merhar (Author), Uroš Milutinović (Author), Tina Sovič (Author)

Abstract

Konstruirana je družina navzgor polzveznih večličnih funkcij ▫$f:[0,1] \rightarrow 2^{[0,1]}$▫, za katere velja, da je inverzna limita inverznega zaporedja intervalov ▫$[0,1]$▫ in ▫$f$▫ kot edine vezne preslikave homeomorfna univerzalnemu dendritu Ważevskega.

Keywords

topologija;kontinuum;inverzna limita;večlična funkcija;dendrit;univerzalni dendrit Ważevskega;ne zaključna dela;topology;continua;inverse limits;upper semi-continuous functions;dendrites;Ważewski's universal dendrite;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FS - Faculty of Mechanical Engineering
UDC: 515.126
COBISS: 16194137 Link will open in a new window
ISSN: 2232-2094
Parent publication: Preprint series
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Downloads: 7
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Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: Slovenian
Secondary title: Univerzalni dendrit Ważevskega kot inverzna limita z eno večlično vezno preslikavo
Secondary abstract: We construct a family of upper semi-continuous set-valued functions ▫$f \colon [0, 1] \to 2^{[0,1]}$▫ (belonging to the class of so-called comb functions), such that for each of them the inverse limit of the inverse sequence of intervals ▫$[0, 1]$▫ and ▫$f$▫ as the only bonding function is homeomorphic to Ważewski's universal dendrite. Among other results we also present a complete characterization of comb functions for which the inverse limits of the above type are dendrites.
Secondary keywords: Matematika;Topologija;Infinitezimalni račun;
URN: URN:SI:UM:
Type (COBISS): Not categorized
Pages: str. 1-33
Volume: ǂVol. ǂ50
Issue: ǂšt. ǂ1169
Chronology: 2012
ID: 1476330