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The Stone Space of an Ortholattice
Author(s) -
Goldblatt R. I.
Publication year - 1975
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/7.1.45
Subject(s) - mathematics , binary relation , set (abstract data type) , space (punctuation) , lattice (music) , topology (electrical circuits) , combinatorics , relation (database) , pure mathematics , discrete mathematics , data mining , computer science , physics , acoustics , programming language , operating system
It is shown that every ortholattice is isomorphic to a lattice of subclasses of a set that carries an irreflexive, symmetric binary relation. A topology is then identified on this set that yields a characterisation of those subclasses that represent elements of the original ortholattice.