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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {1996},
     volume = {60},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_6_a5/}
}
TY  - JOUR
AU  - M. M. Zarichnyi
TI  - Universal $n$-soft maps of $n$-dimensional spaces in absolute Borel and projective classes
JO  - Matematičeskie zametki
PY  - 1996
SP  - 845
EP  - 850
VL  - 60
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_1996_60_6_a5/
LA  - ru
ID  - MZM_1996_60_6_a5
ER  - 
%0 Journal Article
%A M. M. Zarichnyi
%T Universal $n$-soft maps of $n$-dimensional spaces in absolute Borel and projective classes
%J Matematičeskie zametki
%D 1996
%P 845-850
%V 60
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1996_60_6_a5/
%G ru
%F MZM_1996_60_6_a5
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/

[1] Bestvina M., Characterizing $n$-dimentional universal Menger compacta, Mem. Amer. Math. Soc., 380, 1988 | MR | Zbl

[2] Dranishnikov A. N., “Absolyutnye ekstenzory v razmernosti $n$ i $n$-myagkie otobrazheniya, povyshayuschie razmernost”, UMN, 39:5 (1984), 55–95 | MR | Zbl

[3] Schepin E. V., “Funktory i neschetnye stepeni kompaktov”, UMN, 36:3 (1981), 3–62 | MR | Zbl

[4] Dranishnikov A. N., “Universalnye mengerovskie kompakty i universalnye otobrazheniya”, Matem. sb., 129:1 (1986), 121–139 | MR

[5] Chigogidze A. Ch., “$n$-myagkie otobrazheniya $n$-mernykh prostranstv”, Matem. zametki, 46:1 (1989), 88–95 | MR | Zbl

[6] Bestvina M., Mogilski J., “Characterizing certain incomplete infinite-dimensional absolute retracts”, Michigan Math. J., 33 (1986), 291–313 | DOI | MR | Zbl

[7] Engelking R., Dimension theory, PWN, Warszawa, 1978 | Zbl

[8] Kuratovskii K., Topologiya, T. 1, Nauka, M., 1966

[9] Cauty R., Ensembles absorbants pour les classes projectives, Preprint, 1991