Functional equations in total negation

Journal of the Australian Mathematical Society

T. B. M. McMaster¹ 

[1] C. R. Turner

关键词: 54A25;    54B05;    54D99;   

DOI  :  10.1017/S1446788700001427

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

It is known that the only topological invariants P for 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 (not P), reaching similar conclusions for n ≤ 2 but weaker ones for n > 3. A corresponding investigation for total negation within a constraint is initiated.

【 授权许可】

Unknown