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arXiv · 1602.05759

Realizing homology classes up to cobordism

Mark Grant·András Szűcs·Tamás Terpai
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Abstract

It is known that neither immersions nor maps with a fixed finite set of multisingularities are enough to realize all mod 2 homology classes in manifolds. In this paper we define the notion of realizing a homology class up to cobordism; it is shown that for realization in this weaker sense immersions are sufficient, but maps with a fixed finite set of multisingularities are still insufficient.

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Mark Grant, András Szűcs, Tamás Terpai. 2016-02-18. Realizing homology classes up to cobordism. https://arxiv.org/abs/1602.05759

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