Lutz Heindorf
Zero-dimensional Dugundji spaces admit profinite lattice structures

Comment.Math.Univ.Carolinae 33,2 (1992) 329-334.

Abstract: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.

Keywords: Dugundji space, projective Boolean algebra, profinite lattice, supercompact
AMS Subject Classification: Primary 54B25; Secondary 54H12, 06E05