论文标题
基本拓扑概念和替代集理论中实数的构造
Basic Topological Concepts and a Construction of Real Numbers in Alternative Set Theory
论文作者
论文摘要
替代集理论（AST）可能适合那些试图捕获边界不确定的物体或现象的人。尽管AST为高级数学研究提供了各种概念，但它们与常规数学的往来尚未完全发展。本文介绍了AST中的基本拓扑概念，并显示了它们与常规拓扑的概念，以及与常规数字的实数系统的同构性。
Alternative set theory (AST) may be suitable for the ones who try to capture objects or phenomenons with some kind of indefiniteness of a border. While AST provides various notions for advanced mathematical studies, correspondence of them to that of conventional ones are not fully developed. This paper presents basic topological concepts in AST, and shows their correspondence with those of conventional ones, and isomorphicity of a system of real numbers in AST to that of conventional ones.
