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

Open Mathematics (2010)

- Volume: 8, Issue: 3, page 421-429
- ISSN: 2391-5455

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topMarcio Fenille, and Oziride Neto. "Strong surjectivity of maps from 2-complexes into the 2-sphere." Open Mathematics 8.3 (2010): 421-429. <http://eudml.org/doc/269695>.

@article{MarcioFenille2010,

abstract = {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 = \[ \overrightarrow\{deg\} \]
(f) has an integer solution, here \[ \overrightarrow\{deg\} \]
(f)is the so-called vector-degree of f},

author = {Marcio Fenille, Oziride Neto},

journal = {Open Mathematics},

keywords = {Strong surjectivity; Two-dimensional complexes; Group presentation; Diophantine linear system; strong surjectivity; two-dimensional complex; group presentation},

language = {eng},

number = {3},

pages = {421-429},

title = {Strong surjectivity of maps from 2-complexes into the 2-sphere},

url = {http://eudml.org/doc/269695},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Marcio Fenille

AU - Oziride Neto

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

JO - Open Mathematics

PY - 2010

VL - 8

IS - 3

SP - 421

EP - 429

AB - 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 = \[ \overrightarrow{deg} \]
(f) has an integer solution, here \[ \overrightarrow{deg} \]
(f)is the so-called vector-degree of f

LA - eng

KW - Strong surjectivity; Two-dimensional complexes; Group presentation; Diophantine linear system; strong surjectivity; two-dimensional complex; group presentation

UR - http://eudml.org/doc/269695

ER -

## References

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