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The geometry of the Hilton splitting

Jianhua Wang

math.GTarXiv:math/0205232

Abstract

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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