麻省理工学院-数学

研究计划：代数拓扑导论

摘要：

拓扑学是数学研究中极具活力的领域，大致上是研究在平滑变形下保持不变的形状属性。在本课程中，学生将学习拓扑学的基础知识，包括（二维）流形、代数和代数拓扑。在掌握这些概念后，学生将能够解决该领域的基础入门数学研究问题。

Introduction to Algebraic Topology Research Schedule

Abstract:

Topology is a vibrant area of mathematics that is at the forefront of mathematical research. It is roughly the study of properties of shapes the stay the same under smooth deformations. In this course, students will learn the basics of topology, learning about (2-dimensional) manifolds, algebra, and algebraic topology. Upon mastering these ideas, students will be ready for elementary introductory problems in mathematical research in these fields.