On quasi-orbital space

Hawete Hattab


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.






homeomorphism; group; quasi-orbit space; quasi-orbital space

Subject classification

54F65; 54H20

Full Text:



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