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

Fenille, Marcio Colombo; Manzoli Neto, Oziride

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Fenille, Marcio Colombo ^[1] ; Manzoli Neto, Oziride ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Itajuba, Inst Ciencias Exatas, Itajuba - Brazil ^[2] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Central European Journal of Mathematics; v. 8, n. 3, p. 421-429, JUN 2010.
Web of Science Citations:	5
Abstract
Given a model 2-complex K(P) of a group presentation P, we associate to it an integer matrix Delta(P) 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 Delta(P) Y = (deg) over right arrow (f) has an integer solution, here (deg) over right arrow (f) is the so-called vector-degree of f (AU)

FAPESP's process:	07/05843-5 - Roots of maps from 2-dimensional complexes into closed surfaces.
Grantee:	Márcio Colombo Fenille
Support Opportunities:	Scholarships in Brazil - Doctorate

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