Bisections of mass assignments using flags of affine spaces
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Publication:6624167
DOI10.1007/S00454-022-00465-XMaRDI QIDQ6624167
Pablo Soberón, Ilani Axelrod-Freed
Publication date: 25 October 2024
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Spaces of measures, convergence of measures (28A33) Fixed points and coincidences in algebraic topology (55M20)
Cites Work
- Topology and combinatorics of partitions of masses by hyperplanes
- A generalization of the ham sandwich theorem
- Borsuk-Ulam type theorems on product spaces. II
- Convex equipartitions via equivariant obstruction theory
- More bisections by hyperplane arrangements
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- Ham-sandwich cuts and center transversals in subspaces
- Bisecting three classes of lines
- Convex equipartitions: the spicy chicken theorem
- Borsuk-Ulam type theorems for manifolds
- BALANCED CONVEX PARTITIONS OF MEASURES IN ℝ d
- An Extension of the Ham Sandwich Theorem
- An ideal-valued cohomological index theory with applications to Borsuk—Ulam and Bourgin—Yang theorems
- Topology of the Grünbaum–Hadwiger–Ramos hyperplane mass partition problem
- Bisecting measures with hyperplane arrangements
- A survey of mass partitions
- CUTTING A PART FROM MANY MEASURES
- A Theorem on General Measure
- Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
- Lifting Methods in Mass Partition Problems
- Generalizations of the Yao-Yao partition theorem and the central transversal theorem
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