Closed 1-forms in topology and dynamics

DOI10.1070/RM2008v063n06ABEH004579zbMath1179.58005arXiv0807.3240OpenAlexW3103491838MaRDI QIDQ3632952

Michael S. Farber, Dirk Schuetz

Publication date: 16 June 2009

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3240

zbMATH Keywords

critical pointLusternik-Schnirelmann categorychain-recurrent setNovikov inequalitieshomoclinic cycleclosed differential form

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential forms in global analysis (58A10) Foliations in differential topology; geometric theory (57R30) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Critical points and critical submanifolds in differential topology (57R70) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

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