| Title: | Lelek-like fans: endpoint-dense continua supporting topologically mixing maps |
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| Authors: | ID Banič, Iztok (Author)
ID Erceg, Goran (Author)
ID Jelić, Ivan (Author)
ID Kennedy, Judy A. (Author) |
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| Files: |  RAZ_Banic_Iztok_2026.pdf (1,86 MB)
MD5: 4763D4118D509A57603841D2193D0F42
 https://polipapers.upv.es/index.php/AGT/article/view/24275
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| Language: | English |
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| Work type: | Scientific work |
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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: | The Lelek fan is the only smooth fan that has a dense set of end-points. In this paper, we study non-smooth fans with this property; i.e., we construct an uncountable family of pairwise non-homeomorphic such fans. Furthermore, we prove that each of them admits a topologically mixing non-invertible mapping as well as a topologically mixing homeomorphism. |
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| Keywords: | non-smooth fans, Lelek-like fan, dynamical systems, topologically mixing, Mahavier dynamical systems |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Article acceptance date: | 30.10.2025 |
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| Publication date: | 16.03.2026 |
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| Publisher: | Universidad Politécnica de Valencia, Instituto Universitario de Matemática Pura y Aplicada |
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| Year of publishing: | 2026 |
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| Number of pages: | 35 str. |
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| Numbering: | Letn. 27, št. 1, št. članka 24275 |
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| PID: | 20.500.12556/DKUM-97551  |
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| UDC: | 515.1 |
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| ISSN on article: | 1989-4147 |
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| COBISS.SI-ID: | 272173315 |
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| DOI: | 10.4995/agt.24275 |
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| Publication date in DKUM: | 18.03.2026 |
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| Views: | 205 |
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| Downloads: | 3 |
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| Metadata: |    |
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| Categories: | Misc.
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