The Geometry of the Hilton Splitting
نویسنده
چکیده
One of the important theorems in homotopy theory is the Hilton Splitting Theorem which states: there is an isomorphismH = ⊕γ∈ΓHγ from them-th homotopy group of the wedge of a number of spheres to the direct sum of the m-th homotopy groups of some spheres, see [Hi]. In this paper we will construct geometrically all Hilton homomorphisms Hγ and prove a family of sharper symmetry relations between linking coefficients which desuspend and generalize the relations of Kervaire [Ke], Haefliger and Steer [Ha,St].
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تاریخ انتشار 2002