AI 中文总结
该研究利用多面体方法给出毛雷尔拟阵同伦定理新证，此方法还得出delta - 拟阵同伦定理及相关结果，同时证明了整多拟阵的类似定理。
AI 中文摘要
我们使用多面体方法给出了毛雷尔拟阵同伦定理的新证明，不同于毛雷尔最初的组合证明。相同方法得到了delta - 拟阵的同伦定理，由此可推出拟阵、偶delta - 拟阵和反对称拟阵的相应结果。我们还证明了整多拟阵的类似定理。
英文摘要
We give a new proof of Maurer's homotopy theorem for matroids using polyhedral methods, in contrast to Maurer's original combinatorial proof. The same polyhedral approach yields a homotopy theorem for delta-matroids, from which the corresponding results for matroids, even delta-matroids, and antisymmetric matroids follow. We further prove an analogous theorem for integral polymatroids.
