On the Haefliger-Thurston conjecture
Abstract
The classifying space for the framed Haefliger structures of codimension q and class Cr is (2q-1)-connected, for 1 r∞. The corollaries deal with the existence of foliations, with the homology and the perfectness of the diffeomorphism groups, with the existence of foliated products, and of foliated bundles.
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