| Naslov: | Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits |
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| Avtorji: | ID Črepnjak, Matevž (Avtor)
ID Kac, Teja (Avtor) |
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| Datoteke: |  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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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
FKKT - Fakulteta za kemijo in kemijsko tehnologijo
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| Opis: | 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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| Ključne besede: | continua, Cook continua, rigid continua, degree of rigidity, stars of continua, inverse limits |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 22.12.2022 |
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| Datum sprejetja članka: | 15.03.2023 |
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| Datum objave: | 06.04.2023 |
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| Založnik: | Springer Nature |
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| Leto izida: | 2023 |
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| Št. strani: | Str. 1-13 |
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| Številčenje: | Letn. 22, Št. 2, št. članka 80 |
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| PID: | 20.500.12556/DKUM-87542  |
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| UDK: | 515.128 |
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| COBISS.SI-ID: | 150129923 |
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| DOI: | 10.1007/s12346-023-00777-0 |
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| ISSN pri članku: | 1575-5460 |
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| Datum objave v DKUM: | 20.03.2024 |
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| Število ogledov: | 420 |
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| Število prenosov: | 35 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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