Morse-Bott theory on posets and a homological Lusternik-Schnirelmann theorem
DOI10.1142/s1793525321500709zbMATH Open1547.57057MaRDI QIDQ6584684
Desamparados Fernández-Ternero, David Mosquera-Lois, Enrique Macias-Virgós, José Antonio Vilches
Publication date: 8 August 2024
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Combinatorics of partially ordered sets (06A07) 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) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Critical points and critical submanifolds in differential topology (57R70) Discrete Morse theory and related ideas in manifold topology (57Q70)
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