On quasi-orbital space

Hawete Hattab

doi:10.4995/agt.2017.4676

Authors

Hawete Hattab Umm Al-Qura University

DOI:

https://doi.org/10.4995/agt.2017.4676

Keywords:

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

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.

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Author Biography

Hawete Hattab, Umm Al-Qura University

Math department

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