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


  • Sami Lazaar University Tunis-El Manar
  • Saber Nacib University of Gafsa



completely regular spaces, categories, Stone-Cech compactification


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 βâ—¦ρ is deduced.


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Author Biographies

Sami Lazaar, University Tunis-El Manar

Faculty of Sciences

Saber Nacib, University of Gafsa

Faculty of Sciences


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How to Cite

S. Lazaar and S. Nacib, “The hull orthogonal of the unit inteval [0,1]”, Appl. Gen. Topol., vol. 19, no. 2, pp. 245–252, Oct. 2018.



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