關於廣義的斯氏擴張的幾何研究

Abstract

在擴張斯氏空間的概念下，我們介紹了廣義的斯氏空間。除了研究 的基 本性質外，我們討論它與組合結構的一些關係。最後， 們證明 attenuated 空間是廣義的斯氏擴張。 Extending the notion of Sperner spaces, a class of incidence structures, i.e. generalized Sperner spaces, is introduced. We study some of their basic properties together with theirelationship with some other known combinatoric structures. Among others, we show that attenuated spaces are generalized Sperner d-extensions of affine spaces.