The Lelek Fan as the Inverse Limit of Intervals with a Single Set-Valued Bonding Function Whose Graph is an Arc

Author:

Banič IztokORCID,Erceg Goran,Kennedy Judy

Funder

Javna Agencija za Raziskovalno Dejavnost RS

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Akin, E.: General Topology of Dynamical Systems, Volume 1, Graduate Studies in Mathematics Series, American Mathematical Society, Providence RI, (1993)

2. Alvin, L., Kennedy, J., Kelly, J., Greenwood, S.: $$m$$-manifolds and inverse limits of set-valued functions on intervals, preprint (2022)

3. Banič, I., Črepnjak, M., Merhar, M., Sovič, T., Milutinovič, U.: Ważewski’s universal dendrite as an inverse limit with one set-valued bonding function, Glas. Mat. 48 (2013) 137–165

4. Banič, I., Martínez-de-la-Vega, V.: Universal dendrite $$D_3$$ as a generalized inverse limit. Houston J. Math. 41, 669–682 (2015)

5. Charatonik, W.J.: The Lelek fan is unique. Houston J. Math. 15, 27–34 (1989)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quotients of Dynamical Systems and Chaos on the Cantor Fan;Journal of Dynamical and Control Systems;2024-08-30

2. Chaos and mixing homeomorphisms on fans;Journal of Difference Equations and Applications;2024-07-30

3. A transitive homeomorphism on the Lelek fan;Journal of Difference Equations and Applications;2023-04-03

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