Bordism classes represented by multiple point manifolds of immersed manifolds

Eccles, Peter J and Grant, Mark (2006) Bordism classes represented by multiple point manifolds of immersed manifolds. Proceedings of the Steklov Instutute of Mathematics, 252. pp. 47-52. ISSN 0081-5438

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Abstract

We present a geometrical version of Herbert's Theorem determining the homology classes represented by the multiple point manifolds of a self-tranverse immersion. Herbert's Theorem and generalizations can readily be read off from this result. The simple geometrical proof is based on ideas in Herbert's paper. We also describe the relationship between this theorem and the homotopy theory of Thom spaces.

Item Type: Article
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology
MSC 2010, the AMS's Mathematics Subject Classification > 57 Manifolds and cell complexes
Depositing User: Dr Peter J Eccles
Date Deposited: 23 May 2006
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/286

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