Relative homological linking in critical point theory

Alexandre Girouard

DOI: http://dx.doi.org/10.12775/TMNA.2007.026

Abstract


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.

Keywords


Critical point theory; linking; Morse theory

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