Mathematics – Algebraic Topology
Scientific paper
2005-04-07
Mathematics
Algebraic Topology
16 pages
Scientific paper
We prove a geometrical version of Herbert's theorem by considering the self-intersection immersions of a self-transverse immersion up to bordism. This generalises Herbert's theorem to additional cohomology theories and gives a commutative diagram in the homotopy of Thom complexes. The proof uses Koschorke and Sanderson's operations and the fact that bordism of immersions gives a functor on the category of smooth manifolds and immersions.
Eccles Peter J.
Grant Mark
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