Strong surjectivity of mappings of some 3-complexes into 3-manifolds

• Autorzy: Claudemir Aniz
• Języki publikacji: EN

Abstrakty

EN

Let K be a CW-complex of dimension 3 such that H³(K;ℤ) = 0, and M a closed manifold of dimension 3 with a base point a ∈ M. We study the problem of existence of a map f: K → M which is strongly surjective, i.e. such that MR[f,a] ≠ 0. In particular if M = S¹ × S² we show that there is no f: K → S¹ × S² which is strongly surjective. On the other hand, for M the non-orientable S¹-bundle over S² there exists a complex K and f: K → M such that MR[f,a] ≠ 0.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 192
• Numer: 3
• Strony: 195-214

Daty

wydano

2006

Twórcy

autor

Claudemir Aniz

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

Identyfikatory

DOI

10.4064/fm192-3-1