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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Structure spaces of semigroups of continuous functions


Author: K. D. Magill
Journal: Trans. Amer. Math. Soc. 149 (1970), 595-600
MSC: Primary 54.80
DOI: https://doi.org/10.1090/S0002-9947-1970-0266182-5
MathSciNet review: 0266182
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Abstract: In a previous paper, we associated a topological space with each left ideal of a semigroup. Here, we determine this space when the semigroup under consideration is the semigroup of all continuous selfmaps of any space belonging to a fairly extensive class of topological spaces and the left ideal is taken to be the kernel of the semigroup.


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DOI: https://doi.org/10.1090/S0002-9947-1970-0266182-5
Keywords: Structure spaces, extensions of topological spaces, compactifications, semigroups of continuous functions
Article copyright: © Copyright 1970 American Mathematical Society