Geodesic
The Stone-Čech compactification of the rational world
Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 181-188

Voir la notice de l'article provenant de la source Cambridge University Press

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 βQ\Q 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 βN\N and βR\R, which are both inseparable. 
Stannett, M. P. The Stone-Čech compactification of the rational world. Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 181-188. doi: 10.1017/S0017089500007205
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