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On a Hopf Homotopy Classification Theorem
Published online by Cambridge University Press: 22 January 2016
Extract
There are various generalizations of Hopf’s brilliant theorem, which may be stated, as newly formulated by Alexandroff; all the homotopy classes of the mappings of a compact Hausdorff space X with dim X≦n into an n-sphere Sn are in a (1-1) -correspondence with the elements of the n-dimensional Čech cohomology group Hn(X) with integer coefficients.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1951
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