Zeros of closed 1-forms, homoclinic orbits and Lusternik-Schnirelman theory.

DOI10.12775/TMNA.2002.008zbMath1098.57020arXivmath/0106046OpenAlexW1673847381MaRDI QIDQ701315

Michael S. Farber

Publication date: 2002

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0106046

zbMATH Keywords

lower boundsLusternik-Schnirelman category

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) Critical points and critical submanifolds in differential topology (57R70) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (8)

Finite domination, Novikov homology and nonsingular closed 1-forms ⋮ Manifolds which admit maps with finitely many critical points into spheres of small dimensions ⋮ Zeta functions for gradients of closed 1-forms ⋮ Closed forms transverse to singular foliations ⋮ Simplicial models for trace spaces. II: General higher dimensional automata ⋮ Cohomological estimates for cat\((X,\xi )\) ⋮ Homological category weights and estimates for \(\mathrm{cat}^1(X,\xi)\) ⋮ ON THE RELATIVE LUSTERNIK–SCHNIRELMANN CATEGORY WITH RESPECT TO A REAL COHOMOLOGY CLASS

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