Primal spaces and quasihomeomorphisms

Abstract

In [3], the author has introduced the notion of primal spaces. The present paper is devoted to shedding some light on relations between quasihomeomorphisms and primal spaces. Given a quasihomeomorphism q from X to Y , where X and Y are principal spaces, we are concerned specically with a main problem: what additional conditions have to be imposed on q in order to render X (resp.Y ) primal when Y (resp.X) is primal.

Keywords

• Quasihomeomorphism
• principal space
• sober space.