Full paper in PDF:
$%M. Valdivia, On certain compact topological spaces, Rev. Mat. Univ. Complut. Madrid 10
(1997), no. 1, 81–84.%$
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.