Primal spaces and quasihomeomorphisms

Afef Haouati, Sami Lazaar


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.


Quasihomeomorphism; principal space; sober space.

Subject classification

54B30; 54D10; 54F65; 54H20.

Full Text:



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1. On the product of primal spaces
Othman Echi
Quaestiones Mathematicae  first page: 1  year: 2020  
doi: 10.2989/16073606.2020.1836062

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