Lipschitz continuity of tangent directions at infinity

被引：0
|
作者：
Dinh, Si Tiep [1 ,2 ]
Pham, Tien-Son [3 ]
机构：
[1] VAST, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi 10307, Vietnam
[2] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland
[3] Univ Dalat, Dept Math, 1 Phu Dong Thien Vuong, Da Lat, Vietnam
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2023年 / 182卷
关键词：
Tangent cones at infinity; Tangent directions at infinity; Asymptotic critical values; Volume; GENERALIZED CRITICAL-VALUES; ISOLATED SINGULARITIES; POLYNOMIAL FUNCTION; BIFURCATION SET; SARD THEOREM; FAMILIES; FIBRATION;
D O I：
10.1016/j.bulsci.2022.103223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We relate the set of asymptotic critical values of a polynomial f: Rn & RARR; R with the set of discontinuity of two functions: the first one is a set-valued function which associates to each t & ISIN; R the set of tangent directions at infinity of the fiber f-1(t) and the second one is the (n - 2)-dimensional volume of the first one.& COPY; 2022 Elsevier Masson SAS. All rights reserved.
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页数：27
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