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Uncountable family of 0-rigid continua that are homeomorphic to their inverse limitsČrepnjak, Matevž ; Kac, TejaIt 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.Source: Qualitative theory of dynamical systems. - ISSN 1575-5460 (Vol. 22, iss. 2, [article no.] 80, 2023, 13 str.)Type of material - article, component partPublish date - 2023Language - englishCOBISS.SI-ID - 150129923
Author
Črepnjak, Matevž |
Kac, Teja
Topics
Matematika |
Topologija |
kontinua |
tog kontinuum |
stopnja togosti |
zvezde kontinuuma |
inverzne meje |
ne zaključna dela |
continua |
Cook continua |
rigid continua |
degree of rigidity |
stars of continua |
inverse limits
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Author | Črepnjak, Matevž ; Kac, Teja |
Title | Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits |
Publication date | 2023-04-06 |
COBISS.SI-ID | 150129923 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
---|---|---|---|
Računsko intenzivni kompleksni sistemi | P1-0403-2019 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Parametrizirane družine čudnih atraktorjev predstavljene preko inverznih limit: študija z vidika topologije in teorije mere | J1-4632-2023 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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source: Qualitative theory of dynamical systems. - ISSN 1575-5460 (Vol. 22, iss. 2, [article no.] 80, 2023, 13 str.)
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Črepnjak, Matevž | 31096 |
Kac, Teja | 53938 |
Source: Personal bibliographies
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