Semi-Eberlein spaces

Details Semi-Eberlein spaces Semi-Eberlein spaces

2004-07-13

arxiv.org/abs/math/0407222v1

Mathematics

General Topology

14 pages

Scientific paper

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.

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