Strong surjectivity of mappings of some 3-complexes into $$ M_{Q_8 } $$

• Autorzy: Claudemir Aniz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

strongly surjective map; cohomology with local coefficients; linear systems; quaternion group

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 55S35: Obstruction theory
• 55N25: Homology with local coefficients, equivariant cohomology

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 4
• Strony: 497-503

Daty

wydano

2008-12-01

online

2008-10-08

Twórcy

autor

Claudemir Aniz

• Universidade Federal de Mato Grosso do Sul - UFMS

Bibliografia

• [1] Aniz C., Strong surjectivity of mapping of some 3-complexes into 3-manifolds, Fund. Math., 2006, 192, 195–214 http://dx.doi.org/10.4064/fm192-3-1
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Identyfikatory

DOI

10.2478/s11533-008-0042-8