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The smallest ideal of βS is not closed |
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| Authors: | Yevhen Zelenyuk |
| Institution: | aSchool of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, South Africa |
| Abstract: | Let S be an infinite discrete semigroup which can be embedded algebraically into a compact topological group and let βS be the Stone–Čech compactification of S. We show that the smallest ideal of βS is not closed. |
| Keywords: | Stone– Č ech compactification Ultrafilter Smallest ideal Idempotent Compact group |
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