# Strong surjectivity of mappings of some 3-complexes into ${M}_{{Q}_{8}}$

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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