Geodesic
Localic Katětov-Tong insertion theorem and localic Tietze extension theorem
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 801-814 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper, localic upper, respectively lower continuous chains over a locale are defined. A localic Katětov-Tong insertion theorem is given and proved in terms of a localic upper and lower continuous chain. Finally, the localic Urysohn lemma and the localic Tietze extension theorem are shown as applications of the localic insertion theorem.
In this paper, localic upper, respectively lower continuous chains over a locale are defined. A localic Katětov-Tong insertion theorem is given and proved in terms of a localic upper and lower continuous chain. Finally, the localic Urysohn lemma and the localic Tietze extension theorem are shown as applications of the localic insertion theorem.
Classification : 06D20, 06D22, 18B30, 54C20, 54C30
Keywords: frame; locale; lower (upper) continuous chain; normal locale 
@article{CMUC_1997_38_4_a14,
     author = {Li, Yong Min and Guo-jun, Wang},
     title = {Localic {Kat\v{e}tov-Tong} insertion theorem and localic {Tietze} extension theorem},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {801--814},
     year = {1997},
     volume = {38},
     number = {4},
     mrnumber = {1603726},
     zbl = {0938.06008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a14/}
}
TY  - JOUR
AU  - Li, Yong Min
AU  - Guo-jun, Wang
TI  - Localic Katětov-Tong insertion theorem and localic Tietze extension theorem
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1997
SP  - 801
EP  - 814
VL  - 38
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a14/
LA  - en
ID  - CMUC_1997_38_4_a14
ER  - 
%0 Journal Article
%A Li, Yong Min
%A Guo-jun, Wang
%T Localic Katětov-Tong insertion theorem and localic Tietze extension theorem
%J Commentationes Mathematicae Universitatis Carolinae
%D 1997
%P 801-814
%V 38
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a14/
%G en
%F CMUC_1997_38_4_a14
Li, Yong Min; Guo-jun, Wang. Localic Katětov-Tong insertion theorem and localic Tietze extension theorem. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 801-814. http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a14/