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On some properties of $T_0$-ordered reflection

Sami Lazaar, Abdelouaheb Mhemdi

Applied General Topology · 2014

doi:10.4995/agt.2014.2144 (opens in a new tab)

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Abstract

In [12], the authors give an explicit construction of the T0−ordered reflection of an ordered topological space (X, τ,≤). All ordered topological spaces such that whose T0−ordered reflections are T1−ordered spaces are characterized. In this paper, some properties of the T0−ordered reflection of a given ordered topological space (X, τ,≤) are studies. The class of morphisms in ORDTOP orthogonal to all T0−ordered topological space is characterized.

Abstract licence: CC BY-NC-ND

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