Images of analytic map germs and singular fibrations

被引：10

作者：

Joita, Cezar ^{[1
]}

Tibar, Mihai ^{[2
]}

机构：

[1] Romanian Acad, Inst Math, POB 1-764, Bucharest 014700, Romania

[2] Univ Lille, Lab Paul Painleve, CNRS, UMR 8524, F-59000 Lille, France

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2020年 / 6卷 / 03期

关键词：

Map germs; Local fibrations; Images of analytic maps;

D O I：

10.1007/s40879-019-00372-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For amapgermG with target (Cp, 0) or (Rp, 0) with p = 2, weaddress two phenomena which do not occur when p = 1: the image of G may be not well-defined as a set germ, and a local fibration near the origin may not exist. We show how these two phenomena are related and how they can be characterised.

引用

页码：888 / 904

页数：17

共 45 条

[1]

Araujo dos Santos R.N., 2018, J MATH SOC

[2] Fibrations of highly singular map germs [J].

Araujo dos Santos, Raimundo N. ;

Ribeiro, Maico F. ;

Tibar, Mihai .

BULLETIN DES SCIENCES MATHEMATIQUES, 2019, 155 :92-111

[3]

Dos Santos RNA, 2016, MATH SCAND, V118, P57

[4] Singular open book structures from real mappings [J].

Araujo dos Santos, Raimundo N. ;

Chen, Ying ;

Tibar, Mihai .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (05) :817-828

[5]

BEKKA K, 1991, LECT NOTES MATH, V1462, P42

[6]

Bnic C., 1977, METHODES ALGEBRIQUES, V2

[7] BIFURCATION VALUES AND MONODROMY OF MIXED POLYNOMIALS [J].

Chen, Ying ;

Tibar, Mihai .

MATHEMATICAL RESEARCH LETTERS, 2012, 19 (01) :59-79

[8] On the topology of real analytic maps [J].

Cisneros-Molina, Jose Luis ;

Seade, Jose ;

Grulha, Nivaldo G., Jr. .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2014, 25 (07)

[9]

DENKOWSKA Z, 1985, U IAGEL ACTA MATH, V0025, P00183

[10] Regularity at infinity of real mappings and a Morse-Sard theorem [J].

Dias, L. R. G. ;

Ruas, M. A. S. ;

Tibar, M. .

JOURNAL OF TOPOLOGY, 2012, 5 (02) :323-340

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