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- W1963530250 abstract "Two partial orders P =( X ,⩽) and Q =( X , ⩽′) are complementary if P ∩ Q ={( x , x ): x ε x } and the transitive closure of P ∩ Q is {( x , y : x , y ε x }. We investigate here the size ω( n ) of the largest set of pairwise complementary partial orders on a set of size n . In particular, for large n we constructπ( n /log n ) mutually complementary partial orders of order n , and show on the other hand that ω( n )<0.486 n for all sufficiently large n . This provides an estimate of the maximum number of mutually complementary T 0 topologies on a set of size n ." @default.
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- W1963530250 date "1993-04-01" @default.
- W1963530250 modified "2023-09-28" @default.
- W1963530250 title "Mutually complementary partial orders" @default.
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- W1963530250 doi "https://doi.org/10.1016/0012-365x(93)90506-o" @default.
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