Cubulations, immersions, mappability and a problem of habegger
From MaRDI portal
Publication:3836294
DOI10.1016/S0012-9593(01)80003-3zbMath0934.57027arXivmath/9804046MaRDI QIDQ3836294
Publication date: 25 April 2000
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9804046
Triangulating manifolds (57Q15) Embeddings and immersions in PL-topology (57Q35) PL-topology (57Q99)
Related Items
Smoothing closed gridded surfaces embedded in ℝ4 ⋮ A complexity of compact \(3\)-manifolds via immersed surfaces ⋮ Combinatorial description around any vertex of a cubical n-manifold ⋮ How close is a quad mesh to a polycube? ⋮ The triple-point spectrum of closed orientable 3-manifolds ⋮ Any smooth knot \(\mathbb S^{n} \hookrightarrow \mathbb R^{n+2}\) is isotopic to a cubic knot contained in the canonical scaffolding of \(\mathbb R^{n+2}\) ⋮ Cubulated moves for 2-knots ⋮ Efficiently hex-meshing things with topology ⋮ CUBULATED MOVES AND DISCRETE KNOTS ⋮ Surface cubications mod flips ⋮ Topological surfaces as gridded surfaces in geometrical spaces ⋮ A 3-MANIFOLD COMPLEXITY VIA IMMERSED SURFACES ⋮ Combinatorial groupoids, cubical complexes, and the Lovász Conjecture ⋮ A local calculus for nullhomotopic filling Dehn spheres ⋮ Reconstructing \(d\)-manifold subcomplexes of cubes from their \((\lfloor d/2\rfloor+1)\)-skeletons
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- P.l. homeomorphic manifolds are equivalent by elementary shellings
- Shellings of simplicial balls and p.l. manifolds with boundary
- The number of faces of a simplicial convex polytope
- A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
- Unshellable triangulations of spheres
- On mappings of cubic manifolds into the standard lattice of the Euclidean space
- The lower and upper bound problems for cubical polytopes
- Self-intersections and higher Hopf invariants
- Quadruple points of 3-manifolds in \(S^4\)
- Multiple points of immersions and the Kahn-Priddy theorem
- On simple polytopes
- Gaps in the numbers of vertices of cubical polytopes. I
- On the Stanley ring of a cubical complex
- Counting faces of cubical spheres modulo two
- The numbers of faces of simplicial polytopes
- The minimum number of vertices of a simple polytope
- A proof of the lower bound conjecture for convex polytopes
- THE PROBLEM OF PARAMETRIZATION OF CYCLES MODULO 2 IN A THREE-DIMENSIONAL CUBIC LATTICE
- On Generalizing Boy's Surface: Constructing a Generator of the Third Stable Stem
- Multiple points of codimension one immersions of oriented manifolds
- Codimension one immersions and the Kervaire invariant one problem
- Multiple points of immersed manifolds
- Cobordisme d'immersions
- Triple Points and Surgery of Immersed Surfaces
- Surgery on Codimension One Immersions in R n+1 : Removing n-Tuple Points
- CUBIC MANIFOLDS IN LATTICES
- Quantum invariants of knots and 3-manifolds