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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.
Authorship: Araujo J.,
Fuente: Topology and its Applications, 2012, 159(3), 608-622
Publisher: Elsevier BV
Publication date: 15/02/2012
No. of pages: 15
Publication type: Article
DOI: 10.1016/j.topol.2011.10.010
ISSN: 1878-3988,0166-8641
Publication Url: https://doi.org/10.1016/j.topol.2011.10.010
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JESUS ARAUJO GOMEZ
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