紀要論文 REALIZING HOMOLOGY CLASSES UP TO COBORDISM

Terpai, Tamás  ,  Szűcs, András  ,  Grant, mark

54 ( 4 )  , pp.801 - 805 , 2017-10 , Osaka University and Osaka City University, Departments of Mathematics
ISSN:00306126
NII書誌ID(NCID):AA00765910
内容記述
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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http://ir.library.osaka-u.ac.jp/repo/ouka/all/67015/ojm54_04_801.pdf

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