Proximal Relations in Topological Dynamics1
نویسندگان
چکیده
Standing notations. Let (X, T, ir) be a transformation group with compact phase space. The proximal relation of (X, T, if) is denoted by P(X) and the syndetically proximal relation by L(X). The product transformation group induced by (X, P, 7r):;will be denoted by (XXX, T, p), which is defined by (x, y)pi = (xirt, yir1) for (x, y) QXXX and tQ T. For simplicity we shall write xt for X7r' and (xt, yt) = (x, y)t for (x, y)p'.
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تاریخ انتشار 2010