Abstract

This note is concerned with homotopy relations in fibre bundles over spheres, in connection with my previous note.Let R be a fibre boundle, with the n-dimensional sphere Sn as the base space and with fibres which are connected and simple in n − 1 dimension. Let further π denote the projection of R onto Sn. We take a simplicial decomposition K of Sn which is so fine that the star of each simplex lies in a coordinate neighborhood of Sn.

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