Limits of inverse limits
Abstract
Obravnavamo naslednji problem: če zaporedje grafov navzgor polzveznih večličnih funkcij ▫$f_n$▫ konvergira h grafu funkcije ▫$f$▫, ali potem zaporedje pripadajočih inverznih limit, dobljenih s pomočjo funkcij ▫$f_n$▫ konvergira k inverzni limiti, dobljeni z ▫$f$▫?
Keywords
matematika;topologija;kontinuumi;limite;inverzne limite;navzgor polzvezne večlične funkcije;ne zaključna dela;mathematics;topology;continua;limits;inverse limits;upper semi-continuous set valued functions;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2010 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UM FNM - Faculty of Natural Sciences and Mathematics |
| UDC: | 515.126 |
| COBISS: |
15310169
|
| ISSN: | 0166-8641 |
| Views: | 43 |
| Downloads: | 17 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | Slovenian |
|---|---|
| Secondary title: | Limite inverznih limit |
| Secondary abstract: | We study the following problem: if a sequence of graphs of upper semi-continuous set valued functions ▫$f_n$▫ converges to the graph of a function ▫$f$▫, is it true that the sequence of corresponding inverse limits obtained from ▫$f_n$▫ converges to the inverse limit obtained from ▫$f$▫? |
| Secondary keywords: | Matematika;Topologija;Infinitezimalni račun; |
| URN: | URN:SI:UM: |
| Type (COBISS): | Not categorized |
| Pages: | str. 439-450 |
| Volume: | ǂVol. ǂ157 |
| Issue: | ǂiss. ǂ2 |
| Chronology: | 2010 |
| ID: | 1474502 |
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