Tangential category and critical point theory

2012/07/11 by Carlos Meniño Cotón, Cotón, Carlos Meniño
Mathematics · #Advanced Differential Equations and Dynamical Systems #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.1207.2778

Abstract

Classical Ljusternik-Schnirelmann category is upper bounded by the number of critical points of any bounded from below differentiable functions of Palais-Smale type. Here we achieve an adaptation of this result for the tangential category of foliations. We introduce a weaker type of Palais-Smale function, obtaining a slight improvement in the classical theorem of critical points.

Cited by

• LS category on laminations with transverse invariant measure

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