Strong surjectivity of mappings of some 3-complexes into $$ M_{Q_8 } $$期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Claudemir Aniz

Institution:	(1) Departamento de Matemática, Universidade Federal de Mato Grosso do Sul - UFMS, Caixa Postal 549, 79070-900 Unidade V/Campo Grande, MS, Brasil

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 MRf,a]=min{#(g ⁻¹(a))\|g ∈ f]} ≠ 0.

Keywords:	strongly surjective map cohomology with local coefficients linear systems quaternion group
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