拓扑空间中几类紧性的非标准刻画

Non-Standard Description of Several Classes of Compactness in Topological Space

利用非标准分析理论,对拓扑中的紧性、相对紧、局部紧性进行非标准刻画,简化原有证明,使它们的本质性质更为清晰,使拓扑学在理论上更加深刻.

This article uses the nonstandard analysis theory to describe the compactness,relative compactness,and tocall compactness in typological space. The original proof is simplified, making the essential characteristics more clear,and topology theoretically more profound.