Semi-Eberlein spaces

W. Kubiś; A. Leiderman

doi:10.48550/arXiv.math/0407222

Semi-Eberlein spaces

W. Kubiś, A. Leiderman

Department of Mathematics

Research output: Working paper/Preprint › Preprint

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Abstract

We investigate the class of compact spaces which are embeddable into a power of the real line R^κ 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 language	English
Publisher	arXiv
Pages	603-616
Volume	28
DOIs	https://doi.org/10.48550/arXiv.math/0407222
State	Published - 13 Jul 2004

Keywords

math.GN
54D30, 54C35, 54C10

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10.48550/arXiv.math/0407222

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AB - We investigate the class of compact spaces which are embeddable into a power of the real line Rκ 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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Semi-Eberlein spaces

Abstract

Keywords

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