Bordism of self-intersection manifolds of certain codimension one immersions

被引:0
|
作者
Ghasemi, Khadijeh [1 ]
Janfada, Ali S. [1 ]
Zare, Hadi [2 ,3 ]
机构
[1] Urmia Univ, Dept Math, Orumiyeh 5657151818, Iran
[2] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran 14174, Iran
[3] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源
关键词
Immersion; Hurewicz homomorphism; Spherical class; Stiefel-Whitney number; DOUBLE POINT; CHARACTERISTIC-NUMBERS; TRANSVERSE IMMERSIONS; MULTIPLE POINTS; SURFACES;
D O I
10.1007/s40590-023-00541-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a given immersion M-7 (sic) R-8, we completely determine bordism class of its self-intersection manifolds. This is done by computing the image of the unstable Hurewicz homomorphism h : pi(s)(8) RP infinity similar or equal to pi(8)QR P-infinity -> H-8(QRP(infinity); Z/2) and applying formulae of Asadi-Golmankhaneh and Eccles.
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页数:13
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