Residuated closure operators
Janowitz, M.F. (1967)
Portugaliae mathematica
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Janowitz, M.F. (1967)
Portugaliae mathematica
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David Sachs (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Henry H. Crapo (1967)
Rendiconti del Seminario Matematico della Università di Padova
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Lutz Heindorf (1992)
Commentationes Mathematicae Universitatis Carolinae
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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.