Geodesic
Zero-dimensional Dugundji spaces admit profinite lattice structures
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 329-334.

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We prove what the title says. It then follows that zero-dimensional Dugundji space are supercompact. Moreover, their Boolean algebras of clopen subsets turn out to be semigroup algebras.
Classification : 06B35, 06E05, 54B25, 54B35, 54F50, 54H12
Keywords: Dugundji space; projective Boolean algebra; profinite lattice; supercompact 
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     title = {Zero-dimensional {Dugundji} spaces admit profinite lattice structures},
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Heindorf, Lutz. Zero-dimensional Dugundji spaces admit profinite lattice structures. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 329-334. http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a13/