与余秩1热带相化拟阵相关联的拓扑空间
A topological space associated to corank 1 tropical phased matroids
AI总结：
本文通过证明无环秩为n-1的热带相化拟阵的拓扑序复形同胚于(2n-3)-球面，将Folkman-Lawrence拓扑表示定理推广至热带相化拟阵。
摘要：
Folkman-Lawrence拓扑表示定理的一个推论是，[n]上无环秩为n-1的有向拟阵的非零余向量偏序集的序复形的几何实现同胚于一个(n-2)-球面。本文中，我们通过证明[n]上无环秩为n-1的热带相化拟阵的拓扑序复形同胚于一个(2n-3)-球面，开始了热带相化拟阵类似定理的研究。
英文摘要：
A consequence of the Folkman-Lawrence topological representation theorem is that the geometric realization of the order complex of the poset of non-zero covectors of a loopless rank $n-1$ oriented matroid on $[n]$ is homeomorphic to an $(n-2)$-sphere. In this paper, we begin the study of an analogous theorem for tropical phased matroids by proving that the topological order complex for a loopless rank $n-1$ tropical phased matroid on $[n]$ is homeomorphic to a $(2n-3)$-sphere.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
