Samuel compactification and uniform coreflection of nearness $\sigma$-frames
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1229-1241.

Voir la notice de l'article dans Czech Digital Mathematics Library

We introduce the structure of a nearness on a $\sigma $-frame and construct the coreflection of the category ${\mathbf N\sigma Frm}$ of nearness $\sigma $-frames to the category ${\mathbf KReg\sigma Frm}$ of compact regular $\sigma $-frames. This description of the Samuel compactification of a nearness $\sigma $-frame is in analogy to the construction by Baboolal and Ori for nearness frames in [1] and that of Walters for uniform $\sigma $-frames in [11]. We also construct the uniform coreflection of a nearness $\sigma $-frame, that is, the coreflection of the category of ${\mathbf N\sigma Frm}$ to the category U$\sigma $Frm of uniform $\sigma $-frames.
Classification : 06D22, 18B35, 54D35, 54E17
Mots-clés : $\sigma $-frame; nearness; Samuel compactification 
@article{CMJ_2006__56_4_a11,
     author = {Naidoo, Inderasan},
     title = {Samuel compactification and uniform coreflection of nearness $\sigma$-frames},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1229--1241},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2006},
     mrnumber = {2280806},
     zbl = {1164.06312},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a11/}
}
TY  - JOUR
AU  - Naidoo, Inderasan
TI  - Samuel compactification and uniform coreflection of nearness $\sigma$-frames
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 1229
EP  - 1241
VL  - 56
IS  - 4
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a11/
LA  - en
ID  - CMJ_2006__56_4_a11
ER  - 
%0 Journal Article
%A Naidoo, Inderasan
%T Samuel compactification and uniform coreflection of nearness $\sigma$-frames
%J Czechoslovak Mathematical Journal
%D 2006
%P 1229-1241
%V 56
%N 4
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a11/
%G en
%F CMJ_2006__56_4_a11
Naidoo, Inderasan. Samuel compactification and uniform coreflection of nearness $\sigma$-frames. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1229-1241. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a11/