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
Keywords: Dugundji space; projective Boolean algebra; profinite lattice; supercompact
@article{CMUC_1992__33_2_a13,
author = {Heindorf, Lutz},
title = {Zero-dimensional {Dugundji} spaces admit profinite lattice structures},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {329--334},
publisher = {mathdoc},
volume = {33},
number = {2},
year = {1992},
mrnumber = {1189664},
zbl = {0789.54011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a13/}
}
TY - JOUR AU - Heindorf, Lutz TI - Zero-dimensional Dugundji spaces admit profinite lattice structures JO - Commentationes Mathematicae Universitatis Carolinae PY - 1992 SP - 329 EP - 334 VL - 33 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a13/ LA - en ID - CMUC_1992__33_2_a13 ER -
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/