On some properties of T0 ordered reflection

• Lazaar, Sami ^[1] ; Mhemdi, Abdelouaheb ^[1]
  1. [1] University Tunis-El Manar
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 15, Nº. 1, 2014, págs. 43-54
• Idioma: inglés
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• Resumen

  • 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.