Abstract: We give two independent methods for obtaining examples of separable spaces X for which C(X) admits an isometric shift. The first one allows us in particular to construct examples with infinitely many nonhomeomorphic components in any infinite-dimensional normed space. The second one applies for instance to sequences adjoined to any ndimensional compact manifold (for n 2) or to the Sierpinski curve. The combination of both techniques leads to examples with different special features involving a convergent sequence adjoined to the Cantor set.

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