Geodesic
Universal $n$-soft maps of $n$-dimensional spaces in absolute Borel and projective classes
Matematičeskie zametki, Tome 60 (1996) no. 6, pp. 845-850

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Let $\mathscr C$ be one of the absolute Borel classes ${\mathscr M}_\alpha$, ${\mathscr A}_\alpha$, $1\le\alpha\omega_1$ or one of the absolute projective classes ${\mathscr P}_k$, $k\ge1$. A map of an $n$-dimensional space $X\in\mathscr C$ onto the Hilbert cube which is an $n$-soft map in Shchepin's sense and universal in the class of maps of spaces of dimension smaller that or equal to $n$ from the class $\mathscr C$ into separable metrizable spaces is constructed. 
@article{MZM_1996_60_6_a5,
     author = {M. M. Zarichnyi},
     title = {Universal $n$-soft maps of $n$-dimensional spaces in absolute {Borel} and projective classes},
     journal = {Matemati\v{c}eskie zametki},
     pages = {845--850},
     publisher = {mathdoc},
     volume = {60},
     number = {6},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_6_a5/}
}
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M. M. Zarichnyi. Universal $n$-soft maps of $n$-dimensional spaces in absolute Borel and projective classes. Matematičeskie zametki, Tome 60 (1996) no. 6, pp. 845-850. http://geodesic.mathdoc.fr/item/MZM_1996_60_6_a5/