Geometric study of generalized Sperner d-extensions

碩士 === 國立交通大學 === 應用數學研究所 === 81 === 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 o...

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Bibliographic Details
Main Authors: Tung, Li-Ta, 董立大
Other Authors: Huang, Tayuan
Format: Others
Language:en_US
Published: 1993
Online Access:http://ndltd.ncl.edu.tw/handle/41602675178560360368
Description
Summary:碩士 === 國立交通大學 === 應用數學研究所 === 81 === 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.