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Strong surjectivity of maps from 2-complexes into the 2-sphere

Marcio FenilleOziride Neto — 2010

Open Mathematics

Given a model 2-complex K P of a group presentation P, we associate to it an integer matrix ΔP and we prove that a cellular map f: K P → S 2 is root free (is not strongly surjective) if and only if the diophantine linear system ΔP Y = d e g (f) has an integer solution, here d e g (f)is the so-called vector-degree of f

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