GROUPS OF HOMOTOPY EQUIVALENCES
COLUMBIA UNIV NEW YORK
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Information on groups of homotopy equivalences is presented. The method is inductive, and it is connected with the Postnikov procedure of decomposing a space according to homotopy groups. Two different groups of homotopy equivalences are considered, the first being the ordinary one and the second being a quotient of it by those equivalences which induce the identity isomorphism on homotopy groups. In the absence of any structure theory for non- Abelian groups which may possibly be infinitely generated, it seems impossible to determine these groups exactly. They can be determined, up to a series of extensions.
- Theoretical Mathematics