首页|Theorems of Erd(o)s-Ko-Rado type in geometrical settings
Theorems of Erd(o)s-Ko-Rado type in geometrical settings
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The original Erd(o)s-Ko-Rado problem has inspired much research.It started as a study on sets of pairwise intersecting k-subsets in an n-set,then it gave rise to research on sets of pairwise non-trivially intersecting k-dimensional vector spaces in the vector space V(n,q) of dimension n over the finite field of order q,and then research on sets of pairwise non-trivially intersecting generators and planes in finite classical polar spaces.We summarize the main results on the Erd(o)s-Ko-Rado problem in these three settings,mention the Erd(o)s-Ko-Rado problem in other related settings,and mention open problems for future research.
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