On Maximal $k$-Sections and Related Common Transversals of Convex Bodies

[摘要] Generalizing results from [MM1] referringto the intersection body $IK$ andthe cross-section body $CK$ of a convex body$K subset sR^d, , d ge 2$,we prove theorems about maximal $k$-sections of convex bodies,$k in {1, dots, d-1}$,and, simultaneously, statementsabout common maximal$(d-1)$- and $1$-transversals of familiesof convex bodies.

[学科分类] 数学（综合）

[关键词] ramification;Nottingham group