Abstract
Standing notations. Let (X, T, -w) be a transformation group with compact phase space. The proximal relation of (X, T, ir) is denoted by P(X) and the syndetically proximal relation by L(X). The product transformation group induced by (X, T, r) will be denoted by (XXX, T, p), which is defined by (x, y)pt=(xit, ywxt) for (x, y) CXXX and t T. For simplicity we shall write xt for xwrt and (xt, yt) = (x, y)t for (x, y)pt.
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