The Tverberg-Vrećica problem and the combinatorial geometry on vector bundles

DOI10.1007/BF02810677zbMath0972.52005OpenAlexW2125332235MaRDI QIDQ1806255

Rade T. Živaljević

Publication date: 26 March 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02810677

zbMATH Keywords

transversalscohomological index theoriessections of real vector bundlesTverberg-type problemsTverberg-Vrećica conjecture

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Helly-type theorems and geometric transversal theory (52A35)

Related Items (16)

Space Crossing Numbers ⋮ Topology and combinatorics of partitions of masses by hyperplanes ⋮ Transversals to the convex hulls of all \(k\)-sets of discrete subsets of \(\mathbb R^n\) ⋮ Optimal bounds for a colorful Tverberg-Vrećica type problem ⋮ Multiple chessboard complexes and the colored Tverberg problem ⋮ Finite-to-one maps ⋮ A parametrized version of the Borsuk–Ulam–Bourgin–Yang–Volovikov theorem ⋮ Dimension of maps, universal spaces, and homotopy ⋮ Analogues of the central point theorem for families with \(d\)-intersection property in \(\mathbb R^d\) ⋮ Chessboard complexes indomitable ⋮ Conical equipartitions of mass distributions ⋮ Tverberg’s theorem is 50 years old: A survey ⋮ Computational topology of equivariant maps from spheres to complements of arrangements ⋮ Special embeddings of graphs into a three-dimensional space ⋮ Special embeddings of some disconnected graphs into Euclidean space ⋮ Projective center point and Tverberg theorems

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