Extension of mappings into spheres and countable decompositions of Tikhonov cubes
Sbornik. Mathematics, Tome 13 (1971) no. 1, pp. 117-136

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In this paper we study several extension problems for maps into spheres, and as a consequence we solve a problem by P. S. Aleksandrov on bicompact condensation. Furthermore, we define a new class of infinite-dimensional spaces, and in investigating them we generalize a classical result of Uryson on Cantor manifolds. Bibliography: 15 titles.
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N. Hadzhiivanov. Extension of mappings into spheres and countable decompositions of Tikhonov cubes. Sbornik. Mathematics, Tome 13 (1971) no. 1, pp. 117-136. http://geodesic.mathdoc.fr/item/SM_1971_13_1_a5/