Realizing homology classes up to cobordism
Algebraic Topology
2016-02-19 v1
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.
Keywords
Cite
@article{arxiv.1602.05759,
title = {Realizing homology classes up to cobordism},
author = {Mark Grant and András Szűcs and Tamás Terpai},
journal= {arXiv preprint arXiv:1602.05759},
year = {2016}
}
Comments
4 pages, no figures