On some properties of T0-ordered reflection

Sami Lazaar; Abdelwaheb Mhemdi

doi:10.4995/agt.2014.2144

On some properties of T₀-ordered reflection

Sami Lazaar
, Abdelwaheb Mhemdi

Université de Tunis El Manar

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In [12], the authors give an explicit construction of the T₀-ordered reflection of an ordered topological space (X,τ,≤). All ordered topo- logical 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.

Original language	English
Pages (from-to)	43-54
Number of pages	12
Journal	Applied General Topology
Volume	15
Issue number	1
DOIs	https://doi.org/10.4995/agt.2014.2144
State	Published - 2014
Externally published	Yes

Keywords

Category and functor
Ordered quotient
Ordered reflection
Ordered topological space

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10.4995/agt.2014.2144

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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 topo- logical 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.",

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KW - Category and functor

KW - Ordered quotient

KW - Ordered reflection

KW - Ordered topological space

UR - https://www.scopus.com/pages/publications/84901925202

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On some properties of T₀-ordered reflection

Abstract

Keywords

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