Strong surjectivity of mappings of some 3-complexes into
Open Mathematics (2008)
- Volume: 6, Issue: 4, page 497-503
- ISSN: 2391-5455
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topClaudemir Aniz. "Strong surjectivity of mappings of some 3-complexes into \[ M_{Q_8 } \]." Open Mathematics 6.4 (2008): 497-503. <http://eudml.org/doc/269337>.
@article{ClaudemirAniz2008,
abstract = {Let K be a CW-complex of dimension 3 such that H 3(K;ℤ) = 0 and \[ M\_\{Q\_8 \} \]
the orbit space of the 3-sphere \[ \mathbb \{S\}^3 \]
with respect to the action of the quaternion group Q 8 determined by the inclusion Q 8 ⊆ \[ \mathbb \{S\}^3 \]
. Given a point a ∈ \[ M\_\{Q\_8 \} \]
, we show that there is no map f:K → \[ M\_\{Q\_8 \} \]
which is strongly surjective, i.e., such that MR[f,a]=min(g −1(a))|g ∈ [f] ≠ 0.},
author = {Claudemir Aniz},
journal = {Open Mathematics},
keywords = {strongly surjective map; cohomology with local coefficients; linear systems; quaternion group},
language = {eng},
number = {4},
pages = {497-503},
title = {Strong surjectivity of mappings of some 3-complexes into \[ M\_\{Q\_8 \} \]},
url = {http://eudml.org/doc/269337},
volume = {6},
year = {2008},
}
TY - JOUR
AU - Claudemir Aniz
TI - Strong surjectivity of mappings of some 3-complexes into \[ M_{Q_8 } \]
JO - Open Mathematics
PY - 2008
VL - 6
IS - 4
SP - 497
EP - 503
AB - Let K be a CW-complex of dimension 3 such that H 3(K;ℤ) = 0 and \[ M_{Q_8 } \]
the orbit space of the 3-sphere \[ \mathbb {S}^3 \]
with respect to the action of the quaternion group Q 8 determined by the inclusion Q 8 ⊆ \[ \mathbb {S}^3 \]
. Given a point a ∈ \[ M_{Q_8 } \]
, we show that there is no map f:K → \[ M_{Q_8 } \]
which is strongly surjective, i.e., such that MR[f,a]=min(g −1(a))|g ∈ [f] ≠ 0.
LA - eng
KW - strongly surjective map; cohomology with local coefficients; linear systems; quaternion group
UR - http://eudml.org/doc/269337
ER -
References
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