The cohomology ring of a class of Seifert manifolds
type: Item
instance of: scholarly article
title: The cohomology ring of a class of Seifert manifolds
zbMATH Open document ID: 0964.57019
DOI: 10.1016/S0166-8641(99)00062-0
published in: Topology and its Applications
publication date: 2001-03-04T00:00:00Z
review text: This paper develops a previous note [C. R. Acad. Sci., Paris, Sér. I 324, No. 3, 323-326 (1997; Zbl 0890.57022)]. The \({\mathbb Z}/2\) cohomology ring of orientable Seifert manifold fibering over \(S^2\) is computed. Applications are given to the existence of degree 1 maps to \({\mathbb R}P^3\) and to the Lyusternik-Shnirel'man category. This is aimed also to generalize to Seifert manifolds with \({\mathbb Z}/p\) coefficients and degree 1 maps onto lens spaces \(L(p,q)\).
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 55N10
Mathematics Subject Classification ID: 20F38
Mathematics Subject Classification ID: 20J05
Mathematics Subject Classification ID: 55M30
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 1490901
author: John Bryden
author: Claude Hayat-Legrand
author: Heiner Zieschang
author: P. Zvengrowski
reviewed by: Raymond Barre
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1490901