秩函数在研究独立空间拥有一对互斥基的特征上之作用

Rank Function Acts on Characterization of an Independence Space to Have a Pair of Disjoint Bases

利用秩函数,本文给出如何判定一个独立空间拥有一对互斥基的一些充要条件.其目的是回答这样一个公开问题:在什么条件下,一个独立空间可以拥有一对互斥基.该问题是Welsh于1976年提出的.

With the assistance of rank function,this paper provides some necessary and sufficient conditions for an independence space to have a pair of disjoint bases.Its purpose is to answer the open problem that under what conditions,an independence space have a pair of disjoint bases.It is presented by Welsh in 1976.