Geodesic
Bourbaki's Fixpoint Lemma reconsidered
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 303-309

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A constructively valid counterpart to Bourbaki's Fixpoint Lemma for chain-complete partially ordered sets is presented to obtain a condition for one closure system in a complete lattice $L$ to be stable under another closure operator of $L$. This is then used to deal with coproducts and other aspects of frames.
Classification : 04A05, 06A06, 06A15, 06B23, 06B30, 18B25, 54A99, 54B99, 54H99
Keywords: complete lattice; closure operator; fixpoint; frame coproduct; compact frame 
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     author = {Banaschewski, B.},
     title = {Bourbaki's {Fixpoint} {Lemma} reconsidered},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {303--309},
     publisher = {mathdoc},
     volume = {33},
     number = {2},
     year = {1992},
     mrnumber = {1189661},
     zbl = {0779.06004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a10/}
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Banaschewski, B. Bourbaki's Fixpoint Lemma reconsidered. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 303-309. http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a10/