| 半代数集的一个计数定理及其应用 |
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| 引用本文： | 张传林,于凯.半代数集的一个计数定理及其应用[J].数学研究及应用,2000,20(2):266-270. |
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| 作者姓名： | 张传林 于凯 |
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| 作者单位： | 1. 暨南大学数学系,广州510632
2. 成都气象学院基础科学系,成都610041 |
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| 基金项目： | 国务院侨办重点学科基金项目(93A109) |
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| 摘 要： | 给出半代数集基数的计数原理和不可约紧代数流形上Euler示性数及亏格的算法.
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| 关 键 词： | 半代数集 紧代数流形 亏格. |
| 文章编号： | 1000-341(2000)02-0266-05 |
| 修稿时间： | 1997年3月24日 |
A Counting Theorem on Semi-Algebraic Set and Its Applications |
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| ZHANG Chuan-lin and YU Kai.A Counting Theorem on Semi-Algebraic Set and Its Applications[J].Journal of Mathematical Research with Applications,2000,20(2):266-270. |
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| Authors: | ZHANG Chuan-lin and YU Kai |
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| Affiliation: | Dept. of Math.; Jinan University; Guangzhou 5106321;Dept. of Basi. Sci. of Chengdu Institute of Meteorology 610041 |
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| Abstract: | In this paper, a computing principle about the cardinality of semi-algebraic set is given by using Tarski's Principle. Basing on the principle, a calculating method on Euler characteristic number and genus of compact algebraic manifold is presented. |
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| Keywords: | semi-algebraic set compact-algebraic manifold genus |
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