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Title:Ważewski's universal dendrite as an inverse limit with one set-valued bonding function
Authors:ID Banič, Iztok (Author)
ID Črepnjak, Matevž (Author)
ID Merhar, Matej (Author)
ID Milutinović, Uroš (Author)
ID Sovič, Tina (Author)
Files:URL http://www.imfm.si/preprinti/PDF/01169.pdf
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
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, topology, continua, inverse limits, upper semi-continuous functions, dendrites, Ważewski's universal dendrite
Year of publishing:2012
Number of pages:str. 1-33
Numbering:Vol. 50, št. 1169
PID:20.500.12556/DKUM-51982 New window
UDC:515.126
ISSN on article:2232-2094
COBISS.SI-ID:16194137 New window
NUK URN:URN:SI:UM:DK:GKV3YDTZ
Publication date in DKUM:10.07.2015
Views:1642
Downloads:172
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Preprint series
Publisher:Inštitut za matematiko, fiziko in mehaniko
ISSN:2232-2094
COBISS.SI-ID:15706713 New window

Secondary language

Language:Slovenian
Title:Univerzalni dendrit Ważevskega kot inverzna limita z eno večlično vezno preslikavo
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.


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