Collapsibility of CAT(0) spaces
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Publication:2181578
DOI10.1007/s10711-019-00481-xzbMath1439.52015arXiv1107.5789OpenAlexW2972781084MaRDI QIDQ2181578
Karim A. Adiprasito, Bruno Benedetti
Publication date: 19 May 2020
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.5789
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polyhedral manifolds (52B70)
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Cites Work
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- Acute triangulations of polyhedra and \(\mathbb R^N\)
- On locally constructible spheres and balls
- Geodesics in CAT(0) cubical complexes
- Hyperbolization of polyhedra
- A Cheeger-type exponential bound for the number of triangulated manifolds
- Simplicial nonpositive curvature
- A topological approach to evasiveness
- Examples of \(\mathbb{Z}\)-acyclic and contractible vertex-homogeneous simplicial complexes
- Bridged graphs are cop-win graphs: An algorithmic proof
- Interiors of compact contractible \(n\)-manifolds are hyperbolic \((n\geq 5)\)
- Morse theory for cell complexes
- A user's guide to discrete Morse theory
- Tiling space and slabs with acute tetrahedra.
- Geometry of the space of phylogenetic trees
- Constructions preserving evasiveness and collapsibility
- Compact contractible \(n\)-manifolds have arc spines \((n\geq 5)\)
- Collapsibility and vanishing of top homology in random simplicial complexes
- Graphs of some CAT(0) complexes
- Barycentric subdivisions of convex complexes are collapsible
- A dihedral acute triangulation of the cube
- Linear colorings of simplicial complexes and collapsing
- A note on some contractible 4-manifolds
- Simplicial collapsibility, discrete Morse theory, and the geometry of nonpositively curved simplicial complexes
- Combinatorial Morse theory and minimality of hyperplane arrangements
- Reductive groups over a local field
- On the dunce hat
- The Hadamard-Cartan theorem in locally convex metric spaces
- Discrete Morse theory for manifolds with boundary
- Combinatorial stratifications and minimality of 2-arrangements
- Smoothing discrete Morse theory
- Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
- Lectures on Polytopes
- Combinatorial realization of the Thom-Smale complex via discrete Morse theory
- The Hirsch Conjecture Holds for Normal Flag Complexes
- Dismantlability of weakly systolic complexes and applications
- Boundaries of ULC Sets in Euclidean n-Space
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