LATTICES OF RELATIVE COLOUR-FAMILIES AND ANTIVARIETIES
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if and only if (a 1 (i), . . . , a n (i)) ∈ r Ai
On the set A B of all functions from B into A, define a structure A B of signature σ as follows: (f 1 , . . . , f n ) ∈ r AB
K → (B A ji
. By (5), we have B A ji
K → B A ji
K → B A ji
K → (B A ji
Let C n , n > 2, denote the cycle of length n, i.e., the structure whose universe is C n = {0, 1, . . . , n − 1} and (i, j) ∈ r Cn
i∈I [B i 9] = [→ A], k = 1, 2. Thus, B i ∈ [→ A] ⊆ [B i 9], which is
→ C B i i
Put A i = C B ii
i∈F A i .
Conjecture 16. The equality [→ A] = → Q i∈F0
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