Geodesic
On a problem of P.\,S.~Aleksandrov
Sbornik. Mathematics, Tome 63 (1989) no. 2, pp. 539-545

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An old problem of P. S. Aleksandrov, known today as the CE-problem, is solved. Using $K$-theory, an infinite-dimensional compactum with integer cohomological dimension equal to three is constructed. This shows that cell-like maps may raise dimension. Bibliography: 9 titles. 
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     author = {A. N. Dranishnikov},
     title = {On a problem of {P.\,S.~Aleksandrov}},
     journal = {Sbornik. Mathematics},
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     volume = {63},
     number = {2},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_63_2_a17/}
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A. N. Dranishnikov. On a problem of P.\,S.~Aleksandrov. Sbornik. Mathematics, Tome 63 (1989) no. 2, pp. 539-545. http://geodesic.mathdoc.fr/item/SM_1989_63_2_a17/