A colimit of classifying spaces
classification
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math.AT
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homotopyspacesdescriptiongroup-theoreticgroupsalternativecertainclassifying
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We recall a group-theoretic description of the first non-vanishing homotopy group of a certain (n+1)-ad of spaces and show how it yields several formulae for homotopy and homology groups of specific spaces. In particular we obtain an alternative proof of J. Wu's group-theoretic description of the homotopy groups of a 2-sphere.
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