On some properties  of $T_0$-ordered reflection

Sami Lazaar; Abdelouaheb Mhemdi

doi:10.4995/agt.2014.2144

Authors

Sami Lazaar University Tunis-El Manar
Abdelouaheb Mhemdi University Tunis-El Manar

DOI:

https://doi.org/10.4995/agt.2014.2144

Keywords:

ordered topological space, T2âˆ’ordered, T1âˆ’ordered, T0 âˆ’ordered, ordered reflection, ordered quotient, category and functor.

Abstract

In [12], the authors give an explicit construction of the T0âˆ’ordered reflection of an ordered topological space (X, τ,≤) . All ordered topological spaces such that whose T0âˆ’ordered reflections are T1âˆ’ordered spaces are characterized. In this paper, some properties of the T0âˆ’ordered reflection of a given ordered topological space (X, τ,≤) are studies. The class of morphisms in ORDTOP orthogonal to all T0âˆ’ordered topological space is characterized.

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