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2006.118: Bordism classes represented by multiple point manifolds of immersed manifolds

2006.118: Peter J Eccles and Mark Grant (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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DOI: 10.1134/s0081543806010068

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 2000 > 55 Algebraic topology
MSC 2000 > 57 Manifolds and cell complexes
MIMS number:2006.118
Deposited By:Dr Peter J Eccles
Deposited On:23 May 2006

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