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math.AT2015
About sectional category of the Ganea maps
Jean-Paul Doeraene
We first compute the James' sectional category (secat) of the Ganea map g_k of any map f in terms of the sectional category of f: We show that secat(g_k) is the integer part of sec…
math.AT2015★ 1 cited
Yet another Hopf Invariant
Jean-Paul Doeraene, Mohammed El Haouari
The classical Hopf invariant is defined for a map f: S^r -> X. Here we define `hcat' which is some kind of Hopf invariant built with a construction in Ganea's style, valid for maps…