| Title: | Towards the complete classification of tent maps inverse limits |
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| Authors: | ID Banič, Iztok (Author)
ID Črepnjak, Matevž (Author)
ID Merhar, Matej (Author)
ID Milutinović, Uroš (Author) |
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| Files: |  http://www.imfm.si/preprinti/PDF/01124.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: | We study tent map inverse limits, i.e. inverse limits of inverse sequences of unit segments ▫$I$▫ with a tent map being the only bonding function. As the main result we identify an infinite family of curves in ▫$I^2$▫ such that if top points of graphs of tent maps belong to the same curve, the corresponding inverse limits are homeomorphic, and if they belong to different curves, the inverse limits are non-homeomorphic. The inverse limits corresponding to certain families of top points are explicitly determined, and certain properties of the inverse limit are proved in the case of ▫$(0,1)$▫ as the top point. |
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| Keywords: | matematika, topologija, kontinuumi, inverzne limite, mathematics, topology, continua, inverse limits, tent maps, Knaster continua |
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| Year of publishing: | 2010 |
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| Number of pages: | str. 1-24 |
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| Numbering: | Vol. 48, št. 1124 |
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| PID: | 20.500.12556/DKUM-49388  |
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| ISSN: | 2232-2094 |
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| UDC: | 515.126 |
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| COBISS.SI-ID: | 15633497 |
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| NUK URN: | URN:SI:UM:DK:YYP1ODBE |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1314 |
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| Downloads: | 62 |
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| Metadata: |    |
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| Categories: | Misc.
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