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October 2017 Realizing homology classes up to cobordism
Mark Grant, András SZŰCS, Tamás Terpai
Osaka J. Math. 54(4): 801-805 (October 2017).

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. "Realizing homology classes up to cobordism." Osaka J. Math. 54 (4) 801 - 805, October 2017.

Information

Published: October 2017
First available in Project Euclid: 20 October 2017

zbMATH: 06821139
MathSciNet: MR3715364

Subjects:
Primary: 55N22 , 55P47 , 57R19 , 57R42 , 57R95

Rights: Copyright © 2017 Osaka University and Osaka City University, Departments of Mathematics

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Vol.54 • No. 4 • October 2017
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