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Some Newman-type theorems for maps from Riemannian manifolds into manifolds
Published online by Cambridge University Press: 14 November 2011
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