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

Sami Lazaar; Saber Nacib

doi:10.4995/agt.2018.8981

Authors

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

DOI:

https://doi.org/10.4995/agt.2018.8981

Keywords:

completely regular spaces, categories, Stone-Cech compactification

Abstract

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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