Abstract
We present a geometrical version of Herbert’s theorem determining the homology
classes represented by the multiple point manifolds of a self-transverse 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.
Original language | English |
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Pages (from-to) | 47-52 |
Number of pages | 6 |
Journal | Proceedings of the Steklov Institute of Mathematics |
Volume | 252 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2006 |