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The semigroup of continuous selfmaps ofIhas infinitely many ideals

The semigroup of continuous selfmaps ofIhas infinitely many ideals

Let I denote the interval [0,1] in its usual topology and let S = S(I) be the semigroup of continuous mappings of I into itself with function composition as the semigroup operation. In a survey talk given at Oberwolfach in 1989 (see [5]), K. D. Magill Jr. pointed out that …