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$%M. Valdivia, On certain compact topological spaces, Rev. Mat. Univ. Complut. Madrid 10
(1997), no. 1, 81–84.%$
A compact topological space is in the class if it is homeomorphic to a subspace of , for some set of indexes , such that, if is the subset of consisting of all with except for a countable number of ’s, then is dense in . In this paper we show that the class of compact spaces is not stable under continuous maps. This solves a problem posed by Deville, Godefroy and Zizler.
1991 Mathematics Subject Classification: 54D30.