The geometry of the Hilton splitting

Mathematics – Geometric Topology

Scientific paper

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21 pages, 4 figures, using pb-diagram.sty for diagrams

Scientific paper

One of the important theorems in homotopy theory is the Hilton splitting. In
this paper we will construct all the Hilton homomorphisms by geometrical means
and prove a family of sharper symmetry relations of linking coefficients which
desuspend and generalize the relations of Kervaire, Haefliger and Steer.

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