论文标题

1976年Björner的“挑战性问题”:每个无限的几何晶格有限级都有匹配

A "Challenging Question" of Björner from 1976: Every Infinite Geometric Lattice of Finite Rank Has a Matching

论文作者

Farley, Jonathan David

论文摘要

事实证明,每个有限等级大于1的几何晶格在点和超平面之间都具有匹配。这回答了1981年班夫会议上的Pólya奖得主AndersBjörner的问题,他在1976年提出了一个“具有挑战性的问题”。

It is proven that every geometric lattice of finite rank greater than 1 has a matching between the points and hyperplanes. This answers a question of Pólya Prize-winner Anders Björner from the 1981 Banff Conference on Ordered Sets, which he raised as a "challenging question" in 1976.

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