×

zbMATH — the first resource for mathematics

Zero-dimensional Dugundji spaces admit profinite lattice structures. (English) Zbl 0789.54011
Summary: We prove that the title says. It then follows that zero-dimensional Dugundji spaces are supercompact. Moreover, their Boolean algebras of clopen subsets turn out to be semigroup algebras.

MSC:
54B35 Spectra in general topology
54H12 Topological lattices, etc. (topological aspects)
06E05 Structure theory of Boolean algebras
PDF BibTeX XML Cite
Full Text: EuDML