Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659493 | Topology and its Applications | 2012 | 15 Pages |
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 n-dimensional compact manifold (for n⩾2) or to the Sierpiński 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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