Bibliographic Details
| Title: |
Short Proofs of Tverberg-Type Theorems for Cell Complexes. |
| Authors: |
Karasev, Roman1 (AUTHOR) remove@gmail.com, Skopenkov, Arkadiy2 (AUTHOR) skopenko@mccme.ru |
| Source: |
Discrete & Computational Geometry. Jul2026, Vol. 76 Issue 1, p534-538. 5p. |
| Subjects: |
Topology, Continuous functions, Topological spaces, Topological property |
| Abstract: |
We present short proofs of Tverberg-type theorems for cell complexes by S. Hasui, D. Kishimoto, M. Takeda, and M. Tsutaya. One of them states that for any prime power r, any complex X topologically homeomorphic to S (d + 1) (r - 1) - 1 , and any continuous map f : X → R d there are pairwise disjoint faces σ 1 , ... , σ r of X such that f (σ 1) ∩ ... ∩ f (σ r) ≠ ∅ . [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
