On Dold manifolds
type: Item
instance of: scholarly article
title: On Dold manifolds
zbMATH Open document ID: 0687.57013
DOI: 10.1016/0166-8641(89)90109-0
author: Shabd Sharan Khare
published in: Topology and its Applications
publication date: 1989-01-01T00:00:00Z
review text: Let P(m,n) denote a Dold manifold, and \(N_*\) the unoriented bordism ring. The main results of this paper are as follows. 1.) P(m,odd) bords for all m, and P(m,2n) bords iff \(m>2n\) and \(2^{\lambda}\) divides \(m- (2n+1)\) for some \(\lambda\) with \(2^{\lambda}>2n\). 2.) For a given number d, the set D(d) of the bordism classes of all nonbounding Dold manifolds of dimension d is independent in \(N_ d\) over \({\mathbb{Z}}_ 2\).
Mathematics Subject Classification ID: 57R75
zbMATH DE Number: 4126329
zbMATH Keywords: Dold manifold
zbMATH Keywords: unoriented bordism ring
zbMATH Keywords: nonbounding Dold manifolds
MaRDI profile type: Publication
full work available at URL: 0166-8641(89)90109-0
OpenAlex ID: W2078977249
cites work: Erzeugende der Thomschen Algebra \({\mathfrak N}\)
cites work: Immersions and imbeddings of Dold manifolds
description: scientific article; zbMATH DE number 4126329