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	关于实数的连续性准则
	王乃信¹
	西北农业大学计算中心

摘要:

将实分析中的实数连续性准则划分为三组，证明了如下结论：在每组中各条准则是互相等价的；第Ⅰ组准则等价于第Ⅱ组准则加上第Ⅲ组准则；而第Ⅱ组准则与第Ⅲ组准则是彼此独立的。

关键词: 实数，实分析，连续性，准则

DOI：

分类号:O171

基金项目:

On Principles of the Continuity of the Real Number System

Wang Naixin

Abstract:

The prineiples of the continuity of the real number system are dividided into three groups,and proves that all the principles in each group are equivalent to each other and that the principles in Group Ⅰ are equivalent to the combined principles from Group Ⅱ and Group Ⅲ,while the principles in Group Ⅰ and Group Ⅲ are independent of one another.

Key words: Real number,real analysis,continuity,principle