Automorphisms of semigroups of continuous functions
Graham R. Wood · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1980
Abstract Certain semigroups of continuous selfmaps of the closed unit interval are shown to have the property that all their automorphisms are inner. Contrary to expectation, certain other such semigroups do have outer automorphisms. 1980 Mathematics subject classification (Amer. Math. Soc.): primary 20 M 20; secondary 54 C 40.