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On H-spaces over a base space. (English) Zbl 0614.55006

The question, when the group of vertical homotopy classes \(\pi_ 0(SEC(B,E))\) of sections of a group-like space \(E\to B\) over B is nilpotent, is studied.
Reviewer: H.Hösli

MSC:

55P45 \(H\)-spaces and duals
55R05 Fiber spaces in algebraic topology
55P10 Homotopy equivalences in algebraic topology
55S37 Classification of mappings in algebraic topology
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