Continuity in G |
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Authors: | I V Protasov |
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Institution: | Department of Cybernetics, Kyiv University, Volodimirska 64, Kyiv GSP, Ukraine |
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Abstract: | For a discrete group G, we consider βG, the Stone–
ech compactification of G, as a right topological semigroup, and G*=βGG as a subsemigroup of βG. We study the mappings λp* :G*→G*and μ* :G*→G*, the restrictions to G* of the mappings λp :βG→βG and μ :βG→βG, defined by the rules λp(q)=pq, μ(q)=qq. Under some assumptions, we prove that the continuity of λp* or μ* at some point of G* implies the existence of a P-point in ω*. |
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Keywords: | Stone– sciencedirect
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ech compactification Right topological semigroup P-point |
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