| Title: | Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits |
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| Authors: | ID Črepnjak, Matevž (Author)
ID Kac, Teja (Author) |
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| Files: |  Crepnjak-2023-Uncountable_Family_of_0-Rigid_Co.pdf (295,82 KB)
MD5: CD72E31FE3C2047128B018B5B6D93284
 https://link.springer.com/article/10.1007/s12346-023-00777-0
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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
FKKT - Faculty of Chemistry and Chemical Engineering
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| Abstract: | It is a well-known fact that there are continua X such that the inverse limit of any inverse sequence {X, fn} with surjective continuous bonding functions fn is homeomorphic to X. The pseudoarc or any Cook continuum are examples of such continua. Recently, a large family of continua X was constructed in such a way that X is 1/m-rigid and the inverse limit of any inverse sequence {X, fn} with surjective continuous bonding functions fn is homeomorphic to X by Banič and Kac. In this paper, we construct an uncountable family of pairwise non-homeomorphic continua X such that X is 0-rigid and prove that for any sequence (fn) of continuous surjections on X, the inverse limit lim{X, fn} is homeomorphic to X. |
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| Keywords: | continua, Cook continua, rigid continua, degree of rigidity, stars of continua, inverse limits |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 22.12.2022 |
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| Article acceptance date: | 15.03.2023 |
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| Publication date: | 06.04.2023 |
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| Publisher: | Springer Nature |
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| Year of publishing: | 2023 |
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| Number of pages: | Str. 1-13 |
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| Numbering: | Letn. 22, Št. 2, št. članka 80 |
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| PID: | 20.500.12556/DKUM-87542  |
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| UDC: | 515.128 |
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| ISSN on article: | 1575-5460 |
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| COBISS.SI-ID: | 150129923 |
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| DOI: | 10.1007/s12346-023-00777-0 |
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| Publication date in DKUM: | 20.03.2024 |
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| Views: | 422 |
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| Downloads: | 35 |
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| Metadata: |    |
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| Categories: | Misc.
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