NECESSARY CONDITIONS FOR FINITE CRITICAL SETS. MAPS WITH INFINITE CRITICAL SETS

被引：0

作者：

Peter, Ioan Radu ^{[1
]}

Pintea, Cornel ^{[2
]}

机构：

[1] Tech Univ Cluj Napoca, Dept Math, Str Memorandumului 28, Cluj Napoca 400114, Romania

[2] Univ Babes Bolyai, Dept Math, M Kogalniceanu 1, Cluj Napoca, Romania

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2016年 / 47卷 / 02期

关键词：

Critical points; homotopy groups; low dimensional manifolds; CRITICAL-POINTS; MANIFOLDS;

D O I：

10.12775/TMNA.2016.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide necessary conditions on a given map, between two compact differential manifolds, for its critical set to be finite. As consequences of these conditions we also provide several examples of pairs of compact differential manifolds such that every map between them has infinite critical set.

引用

页码：739 / 749

页数：11

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