On quasi-orbital space

Hawete Hattab
DOI: https://doi.org/10.4995/agt.2017.4676

Abstract

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 space. A space X  is called a quasi-orbital space if it is homeomorphic to E=eG where 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.

 

 


Keywords

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

Subject classification

54F65; 54H20.

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References

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