Functional equations in total negation
T. B. M. McMaster, Colin Turner · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 2000
Abstract It is known that the only topological invariantsPfor which anti(P) = anti2(P), anti( ) denoting Bankston's total negation operator, are those which are determined purely by the cardinality of the underlying point-set. We examine equations of the form antin(P) = antin(notP), reaching similar conclusions forn≤ 2 but weaker ones forn> 3. A corresponding investigation for total negation within a constraint is initiated.