.87> T n x : Y x ! Y S n (x) . If we need to specify a metric on Y , it will be denoted by d(y; y 0 ). The main result in  is for fibred systems which have the expanding and exactness property fibrewise. The fibred system Y is called fibre expanding, if there exists a constant a ? 0 such T x is a local homeomorphisms on B(y; a) " Y x for every y 2 Y x ; x 2 X and expands the metric uniformly. Y is topologically exact along fibres if T N (B(x; ffl) " Y x ) oe Y S N (x) for any<
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