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Some Newman-type theorems for maps from Riemannian manifolds into manifolds

Published online by Cambridge University Press:  14 November 2011

Duan Hai-bao
Duan Hai-bao
Affiliation:
Mathematics Department, Peking University, Beijing, China
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Synopsis

Let f: Mm→Nn be a map from a Riemannian m-manifold (Mm, d) into an n-manifold Nn. The major purpose of this paper is to give a lower bound for the number

by examining the behaviour of the cohomology homomorphisms induced by f. This idea will be used to generalise the classical Newman theorem and present a geometric background for a well-known non-embedding theorem in topology.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 1-2 , 1989 , pp. 53 - 59
Copyright
Copyright © Royal Society of Edinburgh 1989

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