Geodesic
Extension of mappings into CW-complexes
Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 47-56 
A. N. Dranishnikov. Extension of mappings into CW-complexes. Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 47-56. http://geodesic.mathdoc.fr/item/SM_1993_74_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is determined under what conditions the standard problem of extension of a mapping $f\colon A\to M$ to the whole space $X$ is solvable for any closed subset $A\subset X$. For finite-dimensional metric compacta $X$ and CW-complexes $M$ this is equivalent to the system of inequalities $\textrm{c-}{\dim}_{\pi_k(M)}X\leqslant k$. The result is applied to finding conditions for general position of a compactum in a Euclidean space.

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