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Automorphisms of semigroups of continuous functions

Published online by Cambridge University Press:  09 April 2009

G. R. Wood
G. R. Wood
Affiliation:
Department of Mathematics University of CanterburyChristchurch, New Zealand
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Abstract

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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 3 , May 1980 , pp. 301 - 309
Copyright
Copyright © Australian Mathematical Society 1980

References

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