Topology Proceedings
Document # baam-45
Topology Proceedings 28 No. 2 (2004), pp. 603-616 |
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Semi-Eberlein spaces
Wieslaw Kubis and Arkady Leiderman
We investigate the class of compact spaces which are
embeddable into a power of the real line Rk in such a
way that c0(k) = { f Î Rk :("e > 0)|{a Î k: |f(a)| > e}| < À0}
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.
Keywords: Semi-Eberlein space, Valdivia/Corson compact, semi-open retraction
Mathematics Subject Classification: 54D30 (54C35 54C10)
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Topology Proceedings,
Volume 28, No. 2 (2004)
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