In effect, this discussion of dynamic realizations of sign relations has advanced from considering semiotic partitions as partitioning the set of points in <math>S\!</math> to considering attractors as partitioning the set of arcs in <math>S \times I = S \times S.\!</math>
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In effect, this discussion of dynamic realizations of sign relations has advanced from considering SEPs as partitioning the set of points in S to considering attractors as partitioning the set of arcs in SxI = SxS.