Semi-Eberlein spaces

W. Kubiś, A. Leiderman

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Abstract

We investigate the class of compact spaces which are embeddable into a power of the real line $R^\kappa$ in such a way that c_0(\kappa) is dense in the image. We show that this is a proper subclass of the class of Valdivia, even when restricted to Corson compacta. We prove a preservation result concerning inverse sequences with semi-open retractions. As a corollary we obtain that retracts of Cantor or Tikhonov cubes belong to the above class.
Original languageEnglish GB
Pages (from-to)603-616
JournalTopology Proc.
Volume28
Issue number2
StatePublished - 2004

Keywords

  • math.GN
  • 54D30, 54C35, 54C10

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