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Example

Let p subset N x N such that p(x, y) <=> x+y is even. Then we have

[0]p = {0, 2, 4, 6, 8, 10, ...},
[1]p = {1, 3, 5, 7, 9, 11, ...},
[2]p = {0, 2, 4, 6, 8, 10, ...},
[3]p = {1, 3, 5, 7, 9, 11, ...},
[4]p = {0, 2, 4, 6, 8, 10, ...},
...

We see that [0]p union [1]p = N and [0]p intersection [1]p = 0.


Author: Wolfgang Schreiner
Last Modification: January 12, 2000

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