Localic Katětov-Tong insertion theorem and localic Tietze extension theorem
Li, Yong Min ; Guo-jun, Wang
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 801-814 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1997-01-01
Classification:  06D20,  06D22,  18B30,  54C20,  54C30 
@article{118974,
     author = {Yong Min Li and Wang Guo-jun},
     title = {Localic Kat\v etov-Tong insertion theorem and localic Tietze extension theorem},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {801-814},
     zbl = {0938.06008},
     mrnumber = {1603726},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118974}
}

Li, Yong Min; Guo-jun, Wang. Localic Katětov-Tong insertion theorem and localic Tietze extension theorem. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 801-814. http://gdmltest.u-ga.fr/item/118974/

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