Wallman-type compaerifications and function lattices
Alessandro Caterino, Maria Cristina Vipera (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Let be a vector sublattice over which separates points from closed sets of . The compactification obtained by embedding in a real cube via the diagonal map, is different, in general, from the Wallman compactification . In this paper, it is shown that there exists a lattice containing such that . In particular this implies that . Conditions in order to be are given. Finally we prove that, if is a compactification of such that is -dimensional, then there is an...