Relative homological linking in critical point theory

被引：0
|
作者：
Girouard, Alexandre [1 ]
机构：
[1] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2007年 / 30卷 / 02期
关键词：
critical point theory; linking; Morse theory;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A relative homological linking of pairs is proposed. It is shown to imply homotopical linking, as well as earlier non-relative notion of homological linkings. Using Morse theory we prove a simple "homological linking principle", thereby generalizing and simplifying many well known results in critical point theory.
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页码：211 / 221
页数：11
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