几何拓扑学是数学中研究流形以及它们的嵌入的分支，具代表性的主题有纽结理论和辫子群。纽结理论和辫子群是几何拓扑学研究范围的典型例子。
在这个时候，拓扑学被称做位置几何学。
At this time the subject of topology was known as analysis situs.
在这个时候，拓扑学被称做位置几何学。
At is time the subject of topology was known as analysis situs.
他以几何学和拓扑学的杰出工作闻名世界，曾获美国国家科学奖和沃尔夫奖，是二十世纪伟大的几何学家。
He is well-known in the world for his outstanding work in geometry and topology. He was awarded the National Medal of Science (USA) and the Wolf Prize.
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