对称多重棋盘复形与新的Tverberg型定理
组合数学
2016-08-16 v4
摘要
我们证明了一类新的Tverberg型定理，证实了Blagojevic、Frick和Ziegler关于存在“平衡Tverberg划分”的猜想（见《Tverberg plus constraints》, Bull. London Math. Soc., 46 (2014) 953-967中的猜想6.6）。该证明依赖于多重棋盘复形及其对称类似物的连通性与可壳化性质。
引用
@article{arxiv.1502.05290,
title = {Symmetric multiple chessboard complexes and a new theorem of Tverberg type},
author = {Duško Jojić and Siniša Vrećica and Rade Živaljević},
journal= {arXiv preprint arXiv:1502.05290},
year = {2016}
}
备注
Improved presentation emphasizing the role of symmetrized deleted joins