名词
中文翻译：拓扑空间
同义词：
['topological', 'geometrical', 'topologically例句：1. In topological spaces', 'the distance between two points is not just a matter of Euclidean distance but also includes information about the shape and orientation of the space itself.（在拓扑空间中，两点之间的距离不仅仅是欧几里得距离，还包括了空间本身的形态和方向信息。）']
例句：
-
1. In topological spaces, the distance between two points is not just a matter of Euclidean distance but also includes information about the shape and orientation of the space itself.
在拓扑空间中，两点之间的距离不仅仅是欧几里得距离，还包括了空间本身的形态和方向信息。
-
2. Topological spaces are used in various areas of mathematics, including geometry, topology,and functional analysis.
拓扑空间在数学的许多领域都有应用，包括几何、拓扑和泛函分析。
-
3. The study of topological spaces has led to important advances in the field of physics, particularly in the understanding of wave propagation and energy transfer.
拓扑空间的研究在物理学领域取得了重要的进展，特别是在理解波的传播和能量转移方面。