Strong surjectivity of mappings of some 3-complexes into MQ8
Claudemir Aniz
Open Mathematics, Tome 6 (2008), p. 497-503 / Harvested from The Polish Digital Mathematics Library
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Let K be a CW-complex of dimension 3 such that H 3(K;ℤ) = 0 and MQ8 the orbit space of the 3-sphere 𝕊3 with respect to the action of the quaternion group Q 8 determined by the inclusion Q 8 ⊆ 𝕊3 . Given a point a ∈ MQ8 , we show that there is no map f:K → MQ8 which is strongly surjective, i.e., such that MR[f,a]=min(g −1(a))|g ∈ [f] ≠ 0.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:269337 
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     author = {Claudemir Aniz},
     title = {Strong surjectivity of mappings of some 3-complexes into \[ M\_{Q\_8 } \]
            },
     journal = {Open Mathematics},
     volume = {6},
     year = {2008},
     pages = {497-503},
     zbl = {1153.55002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0042-8}
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Claudemir Aniz. Strong surjectivity of mappings of some 3-complexes into \[ M_{Q_8 } \]
            . Open Mathematics, Tome 6 (2008) pp. 497-503. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0042-8/

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