Generating countable sets of continuous selfmaps on IN absorbing spaces
Ali Algadid, Yousef
Abdelwahab Hannun, Waleed
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S(X) is the semigroup, under composition, of all continuous selfmaps of the topological space X. In this paper, Banach's method in  is adapted to show that every countable subset of S(X) is contained in a 2- generated subsemigroup of S(X) when X is an IN-absorbing space.