| 可拓凸集 |
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| 引用本文： | 曹炳元.可拓凸集[J].湖南师范大学自然科学学报,1990(1). |
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| 作者姓名： | 曹炳元 |
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| 作者单位： | 湖南财经专科学校 |
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| 摘 要： | 本文讨论了可拓凸集的若干性质。同时,给出了可拓凸集的分离度和严格分离度的定义,以及凸可拓集的分离度和分离定理,引入了可拓线性内点的概念,得出了线性空间中可拓凸集的分离定理和严格分离定理,为解决现实世界中的不相容问题奠定了基础。
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| 关 键 词： | 拓朴 凸集 分离 线性空间 |
EXTENSION CONVEX SET |
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| Cao Bingyuan Hunan Finance and Economy Academy.EXTENSION CONVEX SET[J].Journal of Natural Science of Hunan Normal University,1990(1). |
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| Authors: | Cao Bingyuan Hunan Finance and Economy Academy |
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| Institution: | Cao Bingyuan Hunan Finance and Economy Academy |
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| Abstract: | This paper discusses several properties of extension convex set.At the sametime,it gives the definitions for seperation,and strict separation degree in exten-sion convex set as well.It obtains a degree and a theorem of separation in convexextension set,and introduces the conception for linear inner point of extension,and obtains the theorem for both separation and striet separation of extension con-vex set in linear space.Those theories lay a foundation in solving large number ofno-compatible problem in the real world. |
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| Keywords: | topology convex sets separation linear space |
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