Article
Keywords:
complete lattice; closure operator; fixpoint; frame coproduct; compact frame
Summary:
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.
References:
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Another look at the localic Tychonoff Theorem. Comment. Math. Univ. Carolinae 29 (1988), 647-656.
MR 0982782 |
Zbl 0667.54009
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Some constructive results related to compactness and the (strong) Hausdorff property for locales. preprint, 1991.
MR 1173026 |
Zbl 0739.18001