Relative homological linking in critical point theory
KeywordsCritical point theory, linking, Morse theory
AbstractA 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.
How to Cite
GIROUARD, Alexandre. Relative homological linking in critical point theory. Topological Methods in Nonlinear Analysis [online]. 1 December 2007, T. 30, nr 2, s. 211–221. [accessed 2.12.2021].
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