Primal spaces and quasihomeomorphisms

Afef Haouati

Tunisia

University Tunis-El Manar

Department of Mathematics, Faculty of Sciences of Tunis

Sami Lazaar

Tunisia

University Tunis-El Manar

Department of Mathematics, Faculty of Sciences of Tunis

Submitted: 2014-06-03

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Accepted: 2015-05-29

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Published: 2015-10-01

DOI: https://doi.org/10.4995/agt.2015.3045
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Keywords:

Quasihomeomorphism, principal space, sober space

Supporting agencies:

This research was not funded

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.

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