The hull orthogonal of the unit inteval [0,1]

The hull orthogonal of the unit inteval [0,1]

In this paper, the full subcategory Hcomp of Top whose objects are Hausdorff compact spaces is identified as the orthogonal hull of the unit interval I = [0,1]. The family of continuous maps rendered invertible by the reflector β◦ρ is deduced.

Bibliographic Details
Main Authors: Sami Lazaar, Saber Nacib
Format: Article
Language:English
Published: Universitat Politècnica de València 2018-10-01
Series:Applied General Topology
Subjects:
completely regular spaces
categories
Stone-Cech compactification
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/8981
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spelling doaj-ba2f61bd964649d2b751bc56312cb1322020-11-25T00:37:13ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472018-10-0119224525210.4995/agt.2018.89817100The hull orthogonal of the unit inteval [0,1]Sami Lazaar0Saber Nacib1University Tunis-El ManarUniversity of GafsaIn this paper, the full subcategory Hcomp of Top whose objects are Hausdorff compact spaces is identified as the orthogonal hull of the unit interval I = [0,1]. The family of continuous maps rendered invertible by the reflector β◦ρ is deduced.https://polipapers.upv.es/index.php/AGT/article/view/8981completely regular spacescategoriesStone-Cech compactification
collection DOAJ
language English
format Article
sources DOAJ
author Sami Lazaar
Saber Nacib
spellingShingle Sami Lazaar
Saber Nacib
The hull orthogonal of the unit inteval [0,1]
Applied General Topology
completely regular spaces
categories
Stone-Cech compactification
author_facet Sami Lazaar
Saber Nacib
author_sort Sami Lazaar
title The hull orthogonal of the unit inteval [0,1]
title_short The hull orthogonal of the unit inteval [0,1]
title_full The hull orthogonal of the unit inteval [0,1]
title_fullStr The hull orthogonal of the unit inteval [0,1]
title_full_unstemmed The hull orthogonal of the unit inteval [0,1]
title_sort hull orthogonal of the unit inteval [0,1]
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2018-10-01
description In this paper, the full subcategory Hcomp of Top whose objects are Hausdorff compact spaces is identified as the orthogonal hull of the unit interval I = [0,1]. The family of continuous maps rendered invertible by the reflector β◦ρ is deduced.
topic completely regular spaces
categories
Stone-Cech compactification
url https://polipapers.upv.es/index.php/AGT/article/view/8981
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AT sabernacib thehullorthogonaloftheunitinteval01
AT samilazaar hullorthogonaloftheunitinteval01
AT sabernacib hullorthogonaloftheunitinteval01
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