Primal spaces and quasihomeomorphisms

Afef Haouati, Sami Lazaar
DOI: https://doi.org/10.4995/agt.2015.3045

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.

Subject classification

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

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References

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