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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