Remarks on the sobriety of Scott topology and weak topology on posets
Wei, He ; Shouli, Jiang
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 531-535 / Harvested from Czech Digital Mathematics Library
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We give some necessary and sufficient conditions for the Scott topology on a complete lattice to be sober, and a sufficient condition for the weak topology on a poset to be sober. These generalize the corresponding results in [1], [2] and [4].

Publié le : 2002-01-01
Classification:  06B30,  06B35,  54F05 
@article{119343,
     author = {He Wei and Jiang Shouli},
     title = {Remarks on the sobriety of Scott topology and weak topology on posets},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {531-535},
     zbl = {1069.06002},
     mrnumber = {1920529},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119343}
}

Wei, He; Shouli, Jiang. Remarks on the sobriety of Scott topology and weak topology on posets. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 531-535. http://gdmltest.u-ga.fr/item/119343/

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