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Abstract: This paper is concerned with the Morse theory of attractors for semiflows oncomplete metric spaces. First, we construct global Morse-Lyapunov functions forMorse decompositions of attractors. Then we extend some well known deformationresults in the critical-point theory to Morse-Lyapunov functions which are onlycontinuous. Based on these works, we finally introduce the concept of criticalgroups for Morse sets and establish Morse inequalities and Morse equations forattractors.



Autor: Desheng Li

Fuente: https://arxiv.org/







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