On quasi-orbital space


  • Hawete Hattab Umm Al-Qura University




homeomorphism, group, quasi-orbit space, quasi-orbital space


Let be a subgroup of the group Homeo(E) of homeomorphisms of a Hausdorff topological space E. The class of an orbit 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 space. A space X  is called a quasi-orbital space if it is homeomorphic to E=ewhere E  is a compact Hausdorff space. In this paper, we show that every in nite second countable quasi-compact T0-space is the quotient of a quasi-orbital space.






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Author Biography

Hawete Hattab, Umm Al-Qura University

Math department


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How to Cite

H. Hattab, “On quasi-orbital space”, Appl. Gen. Topol., vol. 18, no. 1, pp. 53–59, Apr. 2017.



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