Configuration spaces, multijet transversality, and the square-peg problem
From MaRDI portal
Publication:2088559
DOI10.1215/00192082-10120454zbMath1498.51016arXiv2103.07506OpenAlexW3137857131MaRDI QIDQ2088559
Jason Cantarella, Elizabeth Denne, John McCleary
Publication date: 6 October 2022
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.07506
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Euclidean geometries (general) and generalizations (51M05) General position and transversality (57Q65)
Related Items
Families of similar simplices inscribed in most smoothly embedded spheres ⋮ AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two discrete versions of the inscribed square conjecture and some related problems
- New perspectives on self-linking
- Generalized Poincaré's conjecture in dimensions greater than four
- Quadrangles inscribed in a closed curve and the vertices of a curve
- Triangles inscribed in simple closed curves
- Almost every curve in \(R^3\) bounds a unique area minimizing surface
- Circumscribing constant-width bodies with polytopes
- A compactification of configuration spaces
- Chern-Simons perturbation theory. II
- Fulton-MacPherson compactification, cyclohedra, and the polygonal pegs problem
- Inscribing a regular octahedron into polytopes
- Manifold-theoretic compactifications of configuration spaces
- Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios
- The rectangular peg problem
- Inscribed rectangle coincidences
- A trichotomy for rectangles inscribed in Jordan loops
- Tetrahedra on deformed spheres and integral group cohomology
- Unknotting combinatorial balls
- Differentiable manifolds
- A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
- A Survey on the Square Peg Problem
- Differentiable imbeddings
- A SURVEY OF BOTT–TAUBES INTEGRATION
- The Topology of Square Pegs in Round Holes
- Inscribed squares and square‐like quadrilaterals in closed curves
- Equilateral triangles and continuous curves
- ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE
- AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
- Quadrilaterals inscribed in convex curves
- On the square peg problem and its relatives
- SPLITTING LOOPS AND NECKLACES: VARIANTS OF THE SQUARE PEG PROBLEM
- Inscribed and circumscribed polyhedra for a convex body and continuous functions on a sphere in Euclidean space
