Normal Spaces and Xed-points of Cech-stone Extensions

نویسنده

  • Michael van Hartskamp
چکیده

We present two examples of nice normal spaces X having the property that for some xed-point free homeomorphism on X its Cech-Stone extension has a xed point. One of the spaces presented here is locally countable, locally compact, separable , normal, countably paracompact and weakly zero-dimensional. The other one is hereditarily normal and strongly zero-dimensional. Our construction of this example however requires the Continuum Hypothesis. Since for paracompact spaces with-nite covering dimension every xed-point free homeomorphism has a xed-point free Cech-Stone extension, these results are \best possible".

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تاریخ انتشار 1997