半代数集的一个计数定理及其应用

A Counting Theorem on Semi-Algebraic Set and Its Applications

中文关键词:  半代数集  紧代数流形  亏格.

英文关键词:semi-algebraic set  compact-algebraic manifold  genus.

中文摘要:

      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.

英文摘要:

      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.