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- W2067488188 abstract "In his paper [11], Peter Neumann considered in detail the cycle structures of elements of Aut(ℚ), the group of all homeomorphisms of the “rational world” ℚ onto itself, and further analyses of Aut(ℚ) and its subgroups have been given by Mekler [9], Bruyns [1], and Truss [13]. My interest in Aut(ℚ) stems from its utility in proving an at first sight rather startling (to a general topologist) result concerning β ℚ, the so-called Stone-Čech compactification of ℚ, namely that βℚℚ is separable, and in fact contains a homogeneous countable dense subspace. (A space X is “homogeneous” provided whenever x, y ∈ X , there is some g ∈ Aut( X ) with g(x) = y .) This is in sharp contrast to the spaces βℕℕ and βℝℝ, which are both inseparable." @default.
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- W2067488188 date "1988-05-01" @default.
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- W2067488188 title "The Stone-Čech compactification of the rational world" @default.
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- W2067488188 doi "https://doi.org/10.1017/s0017089500007205" @default.
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