Basic homogeneity in the class of zero-dimensional compact spaces |
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Authors: | Ramiro de la Vega |
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Institution: | Universidad de los Andes, Bogotá, Colombia |
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Abstract: | We show that under the continuum hypothesis there is a compact zero-dimensional space which admits a base of pairwise homeomorphic clopen subsets but it is not an h-homogeneous space (i.e. not all of its nonempty clopen subsets are homeomorphic), partially answering a question of M.V. Matveev. Under Jensen's ? principle, we can even make the space hereditarily separable and hence, by a result of Matveev, an S-space. |
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Keywords: | 54G20 54D70 |
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