- -

Equicontinuous local dendrite maps

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Equicontinuous local dendrite maps

Mostrar el registro completo del ítem

Salem, AH.; Hattab, H.; Rejeiba, T. (2021). Equicontinuous local dendrite maps. Applied General Topology. 22(1):67-77. https://doi.org/10.4995/agt.2021.13446

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/165240

Ficheros en el ítem

Thumbnail
Nombre: Salem;Hattab;Rejeba ...
Tamaño: 204.5Kb
Formato: PDF
Descripción: Versión editorial
Abrir/Preview

Metadatos del ítem

Título: Equicontinuous local dendrite maps
Autor: Salem, Aymen Haj Hattab, Hawete Rejeiba, Tarek
Fecha difusión:
Resumen:
[EN] Let X be a local dendrite, and f : X → X be a map. Denote by E(X) the set of endpoints of X. We show that if E(X) is countable, then the following are equivalent:(1) f is equicontinuous;(2)  fn (X) = R(f);(3) f|  fn ...[+]
Palabras clave: Dendrite , Equicontinuity , Local dendrite , Recurrent point
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2021.13446
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2021.13446
Tipo: Artículo

References

H. Abdelli, ω-limit sets for monotone local dendrite maps. Chaos, Solitons and Fractals, 71 (2015), 66-72. https://doi.org/10.1016/j.chaos.2014.12.003

H. Abdelli and H. Marzougui, Invariant sets for monotone local dendrite maps, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 26, no. 9 (2016), 1650150 (10 pages). https://doi.org/10.1142/S0218127416501509

E. Akin, J. Auslander and K. Berg, When is a transitive map chaotic?, in: Convergence in Ergodic Theory and Probability, Walter de Gruyter and Co., Berlin, 1996, pp. 25-40. https://doi.org/10.1515/9783110889383.25 [+]
H. Abdelli, ω-limit sets for monotone local dendrite maps. Chaos, Solitons and Fractals, 71 (2015), 66-72. https://doi.org/10.1016/j.chaos.2014.12.003

H. Abdelli and H. Marzougui, Invariant sets for monotone local dendrite maps, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 26, no. 9 (2016), 1650150 (10 pages). https://doi.org/10.1142/S0218127416501509

E. Akin, J. Auslander and K. Berg, When is a transitive map chaotic?, in: Convergence in Ergodic Theory and Probability, Walter de Gruyter and Co., Berlin, 1996, pp. 25-40. https://doi.org/10.1515/9783110889383.25

G. Askri and I. Naghmouchi, Pointwise recurrence on local dendrites, Qual. Theory Dyn Syst 19, 6 (2020). https://doi.org/10.1007/s12346-020-00347-8

F. Balibrea, T. Downarowicz, R. Hric, L. Snoha and V. Spitalsky, Almost totally disconnected minimal systems, Ergodic Th. & Dynam Sys. 29, no. 3 (2009), 737-766. https://doi.org/10.1017/S0143385708000540

F. Blanchard, B. Host and A. Maass, Topological complexity, Ergodic Th. $&$ Dynam Sys. 20 (2000), 641-662. https://doi.org/10.1017/S0143385700000341

A. M. Blokh, Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces, Proc. Amer. Math. Soc. 143 (2015), 3985-4000. https://doi.org/10.1090/S0002-9939-2015-12589-0

A. M. Blokh, The set of all iterates is nowhere dense in C([0,1],[0,1]), Trans. Amer. Math. Soc. 333, no. 2 (1992), 787-798. https://doi.org/10.1090/S0002-9947-1992-1153009-7

W. Boyce, Γ-compact maps on an interval and fixed points, Trans. Amer. Math. Soc. 160 (1971), 87-102. https://doi.org/10.1090/S0002-9947-1971-0280655-1

A. M. Bruckner and T. Hu, Equicontinuity of iterates of an interval map, Tamkang J. Math. 21, no. 3 (1990), 287-294.

J. Camargo, M. Rincón and C. Uzcátegui, Equicontinuity of maps on dendrites, Chaos, Solitons and Fractals 126 (2019), 1-6. https://doi.org/10.1016/j.chaos.2019.05.033

J. Cano, Common fixed points for a class of commuting mappings on an interval, Trans. Amer. Math. Soc. 86, no. 2 (1982), 336-338. https://doi.org/10.1090/S0002-9939-1982-0667301-2

R. Gu and Z. Qiao, Equicontinuity of maps on figure-eight space, Southeast Asian Bull. Math. 25 (2001), 413-419. https://doi.org/10.1007/s100120100004

A. Haj Salem and H. Hattab, Group action on local dendrites, Topology Appl. 247, no. 15 (2018), 91-99. https://doi.org/10.1016/j.topol.2018.08.002

K. Kuratowski, Topology, vol. 2. New York: Academic Press; 1968.

J. Mai, Pointwise-recurrent graph maps, Ergodic Th. & Dynam Sys. 25 (2005), 629-637. https://doi.org/10.1017/S0143385704000720

J. Mai, The structure of equicontinuous maps, Trans. Amer. Math. Soc. 355, no. 10 (2003), 4125-4136. https://doi.org/10.1090/S0002-9947-03-03339-7

C. A. Morales, Equicontinuity on semi-locally connected spaces, Topology Appl. 198 (2016), 101-106. https://doi.org/10.1016/j.topol.2015.11.011

S. Nadler, Continuum Theory. Inc., New York: Marcel Dekker; 1992.

G. Su and B. Qin, Equicontinuous dendrites flows, Journal of Difference Equations and Applications 25, no. 12 (2019), 1744-1754. https://doi.org/10.1080/10236198.2019.1694012

T. Sun, Equicontinuity of σ-maps, Pure and Applied Math. 16, no. 3 (2000), 9-14.

T. Sun, Z. Chen, X. Liu and H. G. Xi, Equicontinuity of dendrite maps, Chaos, Solitons and Fractals 69 (2014), 10-13. https://doi.org/10.1016/j.chaos.2014.08.010

T. Sun, G. Wang and H. J. Xi, Equicontinuity of maps on a dendrite with finite branch points. Acta Mat. Sin. 33, no. 8 (2017), 1125-1130. https://doi.org/10.1007/s10114-017-6289-x

T. Sun, Y. Zhang and X. Zhang, Equicontinuity of a graph map, Bull. Austral Math. Soc. 71 (2005), 61-67. https://doi.org/10.1017/S0004972700038016

A. Valaristos, Equicontinuity of iterates of circle maps, Internat. J. Math. and Math. Sci. 21 (1998), 453-458. https://doi.org/10.1155/S0161171298000623

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem