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arxiv: math/0205232 · v1 · submitted 2002-05-22 · 🧮 math.GT · math.AT

The geometry of the Hilton splitting

classification 🧮 math.GT math.AT
keywords hiltonrelationssplittingcoefficientsconstructdesuspendfamilygeneralize
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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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