Discrete-to-continuous extensions: Lovász extension and Morse theory
DOI10.1007/S00454-022-00461-1zbMATH Open1546.57063MaRDI QIDQ6559433
Publication date: 21 June 2024
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
General topology of complexes (57Q05) Hypergraphs (05C65) 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) Abstract complexes in algebraic topology (55U05) Discrete Morse theory and related ideas in manifold topology (57Q70)
Cites Work
- Title not available (Why is that?)
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- Lusternik-Schnirelmann category of simplicial complexes and finite spaces
- On topological and metric critical point theory
- Stability of persistence diagrams
- Hom complexes and homotopy theory in the category of graphs
- A critical point theory for nonsmooth functionals
- Morse theory for cell complexes
- A user's guide to discrete Morse theory
- Combinatorial manifolds with few vertices
- Mountain pass theorems and global homeomorphism theorems
- Metric critical point theory. I: Morse regularity and homotopic stability of a minimum
- The action of Young subgroups on the partition complex
- Strong discrete Morse theory and simplicial L-S category: a discrete version of the Lusternik-Schnirelmann theorem
- Categorification of persistent homology
- Algebraic topology of finite topological spaces and applications
- The embedded homology of hypergraphs and applications
- Simple homotopy types of Hom-complexes, neighborhood complexes, Lovász complexes, and atom crosscut complexes
- Singular homology groups and homotopy groups of finite topological spaces
- Critical points and curvature for embedded polyhedra
- Submodular functions and optimization.
- Diskrete Räume.
- Méthodes topologiques dans les problèmes variationnels. I: Espaces à un nombre fini de dimensions.
- Functional topology and abstract variational theory
- Theory of capacities
- Discrete Morse theory for manifolds with boundary
- Smoothing discrete Morse theory
- Betti Numbers of Hypergraphs
- Balanced Cohen-Macaulay Complexes
- Discrete Convex Analysis
- Combinatorial realization of the Thom-Smale complex via discrete Morse theory
- Bestvina–Brady discrete Morse theory and Vietoris–Rips complexes
- Learning with Submodular Functions: A Convex Optimization Perspective
- Finite Topological Spaces
- Functional Topology and Abstract Variational Theory
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