本刊英文版2013年56卷第7期摘要(英文)

Theorems of Erds-Ko-Rado type in geometrical settings DE BOECK Maarten & STORME Leo Abstract The original Erd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

Theorems of Erdos-Ko-Rado type in geometrical settings DE BOECK Maarten ＆ STORME Leo Abstract The original Erdos-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 ErdSs-Ko-Rado problem in these three settings, mention the ErdSs-Ko-Rado problem in other related settings, and mention open problems for future research. Keywords ErdSs-Ko-Rado theorem, finite sets, finite vector spaces, finite classical polar spaces MSC（2010） 05B25, 05D05, 05E30, 51A50, 51E20, 52C10 doi： 10.1007/sl1425-013-4676-z