Abstract: | LetC be one of the absolute Borel classesM
α
,A
α
, with 1≤α<ω
1 or one of the absolute projective classesP
k
,k≥1. A map of ann-dimensional spaceX ∈ C onto the Hilbert cube which is ann-soft map in Shchepin's sense and universal in the class of maps of spaces of dimension smaller that or equal ton from the classC into separable metrizable spaces is constructed.
Translated fromMatematicheskie Zametki, Vol. 60, No. 6, pp. 845–850, December, 1996. |