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

Marcio Fenille; Oziride Neto

Open Mathematics, Tome 8 (2010), p. 421-429 / Harvested from The Polish Digital Mathematics Library

Résumé

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 = $\vec{d e g}$ (f) has an integer solution, here $\vec{d e g}$ (f)is the so-called vector-degree of f

Publié le : 2010-01-01

Zbl 1207.55002

EUDML-ID : urn:eudml:doc:269695

@article{bwmeta1.element.doi-10_2478_s11533-010-0031-6,
     author = {Marcio Fenille and Oziride Neto},
     title = {Strong surjectivity of maps from 2-complexes into the 2-sphere},
     journal = {Open Mathematics},
     volume = {8},
     year = {2010},
     pages = {421-429},
     zbl = {1207.55002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0031-6}
}

Marcio Fenille; Oziride Neto. Strong surjectivity of maps from 2-complexes into the 2-sphere. Open Mathematics, Tome 8 (2010) pp. 421-429. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0031-6/

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