Primal spaces and quasihomeomorphisms

Afef Haouati, Sami Lazaar

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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1. Primal topologies on the integers
S. García-Ferreira, A. Guale, J. Vielma
Quaestiones Mathematicae  first page: 1  year: 2019  
doi: 10.2989/16073606.2019.1695686



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