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Homomorphisms from S(X) into S(Y)

Published online by Cambridge University Press:  20 November 2018

Kenneth D. Magill
Kenneth D. Magill*
Affiliation:
State University of New York at Buffalo, Amherst, New York
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Abstract

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S(X) is the semigroup under composition of all continuous selfmaps of the topological space X. For certain spaces X and Y we classify completely the homomorphisms from S(X) into S(Y). An application of the main result to S(I) the semigroup of all continuous selfmaps of the closed unit interval I results in the solution of a problem which was suggested in the closing paragraph of [6].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 3 , 01 June 1977 , pp. 615 - 625
Copyright
Copyright © Canadian Mathematical Society 1977

References

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