Language: | English |
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Year of publishing: | 2012 |
Typology: | 1.01 - Original Scientific Article |
Organization: | UM FS - Faculty of Mechanical Engineering |
UDC: | 515.126 |
COBISS: | 16194137 |
ISSN: | 2232-2094 |
Parent publication: | Preprint series |
Views: | 55 |
Downloads: | 7 |
Average score: | 0 (0 votes) |
Metadata: |
Secondary language: | Slovenian |
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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 |