Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Hawete Hattab"'
Publikováno v:
Applied General Topology, Vol 22, Iss 1, Pp 67-77 (2021)
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 (X) is equicontinuous; (4)
Externí odkaz:
https://doaj.org/article/e5a45d76ede54c6cbceca73cbc80761b
Autor:
Hawete Hattab
Publikováno v:
Journal of Mathematics, Vol 2022 (2022)
Let X be a local dendrite, and let f be a continuous self-mapping of X. Let EX represent the subset of endpoints of X. Let APf denote the subset of almost periodic points of f, Rf be the subset of recurrent points of f, and Pf be the subset of period
Externí odkaz:
https://doaj.org/article/21598c25a6034845a60444fe5f150c3b
Autor:
Hawete Hattab
Publikováno v:
Applied General Topology, Vol 18, Iss 1, Pp 53-59 (2017)
Let G be a subgroup of the group Homeo(E) of homeomorphisms of a Hausdorff topological space E. The class of an orbit O of G is the union of all orbits having the same closure as O. We denote by E=eG the space of classes of orbits called quasi-orbit
Externí odkaz:
https://doaj.org/article/a89b5de963284ea49fdd17dca87439dc
Autor:
HAWETE, HATTAB
Publikováno v:
Proceedings of the American Mathematical Society, 2011 Jun 01. 139(6), 2087-2092.
Externí odkaz:
https://www.jstor.org/stable/41291767
Autor:
Aymen Haj Salem, Hawete Hattab
Publikováno v:
Topology and its Applications. 247:91-99
Let G be a group acting by homeomorphisms on a local dendrite X with countable set of endpoints. In this paper, it is shown that any minimal set M of G is either a finite orbit, or a Cantor set or a circle. Furthermore, we prove that if G is a finite
Autor:
Hawete Hattab, Aymen Haj Salem
Publikováno v:
Qualitative Theory of Dynamical Systems. 16:623-634
Let (G, D) be a flow such that D is a dendrite and G is a finitely generated group. Denote by E(D) the set of endpoints of D. In this paper, it is shown that if E(D) is closed and countable then the following properties are equivalent: (1) (G, D) is
Autor:
Hawete Hattab
Publikováno v:
Topological Algebra and its Applications, Vol 5, Iss 1, Pp 13-18 (2017)
Let R be an open equivalence relation on a topological space E. We define on E a new equivalence relation ̃ℜ̅ by x̃ ̃ℜ̅y if the closure of the R-trajectory of x is equal to the closure of the R-trajectory of y. The quotient space E/̃ ̃ℜ
Autor:
Hawete Hattab
Publikováno v:
Bollettino dell'Unione Matematica Italiana. 10:671-679
Let (G, X) be a flow such that X is a locally finite graph and G is a finitely generated group. In this paper, it is shown that the following properties are equivalent: We show that every pointwise recurrent flow of a locally finite graph is equicont
Autor:
Hawete Hattab, Ezzeddine Salhi
Publikováno v:
Qualitative Theory of Dynamical Systems. 15:481-490
In this paper, we show that every pointwise recurrent homeomorphism of a locally finite graph is regular. We also give some qualitative properties of an equicontinuous group of homeomorphisms of a finite graph.
Autor:
Hawete Hattab
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 53, Iss 2, Pp 73-79 (2015)
Let G be a subgroup of the group Homeo(X) of homeomorphisms of a topological space X. Let G ¯ $\bar G$ be the closure of G in Homeo(X). The class of an orbit O of G is the union of all orbits having the same closure as O. We denote by X / G ˜ $X/\w