标题： Figiel-Lindenstrauss-Milman定理的一个非常短的证明 显示英文标题

标题： A very short proof of the Figiel-Lindenstrauss-Milman theorem

摘要： 我们为关于某一多面体顶点数和面数的Figiel、Lindenstrauss和Milman不等式提供了一个简短的证明，并给出了涉及的普遍常数的一个显式界。 该证明完全初等，避免了Dvoretzky定理的任何形式以及球面上的等周不等式。 显示英文摘要

摘要： We provide a short proof for the Figiel, Lindenstrauss and Milman inequality regarding the number of vertices and faces of certain polytope, with an explicit bound on the universal constant involved. The proof is completely elementary and avoids any form of Dvoretzky's theorem, as well as the spherical isoperimetric inequality.