| Title: | Inverse limits in the category of compact Hausdorff spaces and upper semicontinuous functions |
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| Authors: | ID Banič, Iztok (Author)
ID Sovič, Tina (Author) |
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| Files: |  http://www.imfm.si/preprinti/PDF/01188.pdf
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | V članku obravnavamo inverzne limite v kategoriji ▫$mathcal{CHU}$▫ kompaktnih Hausdorffovih prostorov in navzgor polzveznih (u.s.c) preslikav. Vpeljemo pojem šibkih inverznih limit in pokažemo, da inverzne limite z navzgor polzveznimi veznimi preslikavami skupaj s projekcijami niso nujno inverzne limite v ▫$mathcal{CHU}$▫, so pa vedno šibke inverzne limite v tej kategoriji. Med drugim gre za realizacijo kategorijalnega pristopa k reševanju problema, ki ga je zastavil W. T. Ingram. |
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| Keywords: | topologija, kategorije, navzgor polzvezne funkcije, inverzne limite, posplošene inverzne limite, šibke inverzne limite, topology, upper semi-continuous functions, inverse limits, generalized inverse limits, weak inverse limits |
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| Year of publishing: | 2013 |
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| Number of pages: | str. 1-15 |
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| Numbering: | Vol. 51, št. 1188 |
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| PID: | 20.500.12556/DKUM-52016  |
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| UDC: | 515.126 |
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| ISSN on article: | 2232-2094 |
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| COBISS.SI-ID: | 16625753 |
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| NUK URN: | URN:SI:UM:DK:OCYY9TOT |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 27345 |
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| Downloads: | 107 |
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| Metadata: |    |
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| Categories: | Misc.
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