王可

个人信息Personal Information

副研究员硕士生导师

性别：男

所在单位：数据科学研究院

入职时间：2024-09

学科：基础数学

电子邮箱：

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2026春季学期拓扑学（双语）

上课时间地点：

1-16周，周二 14:00-15:50 & 周五 8:00-9:50，中心校区理综楼303.

参考书：

[1] 雷逢春，杨志青，李风玲，《基础拓扑学及应用》，高等教育出版社 “101计划”核心教材，2024年第1版.

[2] 尤承业，《基础拓扑学讲义》，北京大学出版社.

[3] J. Munkres, Topology.

讲义与课程安排（随课程更新）

时间	授课内容	讲义附件
2026-03-03	Some Topics on Set Theory	2026拓扑学1 2026.3.3.pdf
2026-03-06	Topological Spaces and Bases	2026拓扑学2 2026.3.6.pdf
2026-03-10	Interior, Closure, Derived Set and Boundary	2026拓扑学3 2026.3.10.pdf
2026-03-13	Subspace, Net Convergence and Continuous Map	2026拓扑学4 2026.3.13.pdf
2026-03-17	Homeomorphism, (Finite) Product Space	2026拓扑学5 2026.3.17.pdf
2026-03-20	Universal Property of Product Spaces, (Infinite) Product Space	2026拓扑学6 2026.3.20.pdf
2026-03-24	Metric Space, Topology Induced by Metric	2026拓扑学7 2026.3.24.pdf
2026-03-27	Quotient Space	2026拓扑学8 2026.3.27.pdf
2026-03-31	Separation Axioms, Urysohn's Lemma	2026拓扑学9 2026.3.31.pdf
2026-04-03	Countability Axioms, Urysohn Metrization Theorem, Tietze Extension Theorem	2026拓扑学10 2026.4.3.pdf
2026-04-07	Recitation Sessions for Assignment 1-4	2026拓扑学习题课1.pdf
2026-04-10	Connectedness	2026拓扑学11 2026.4.10.pdf
2026-04-14	Path Connectedness and Locally Connectedness	2026拓扑学12 2026.4.14.pdf
2026-04-17	Compactness	2026拓扑学13 2026.4.17.pdf
2026-04-21	Tychonoff's Theorem, Compactness in Metric Spaces	2026拓扑学14 2026.4.21.pdf
2026-04-24	Class is canceled due to the Sports Days
2026-04-28	习题课2（由于课堂反馈不佳，从本节起讲义改为中文）	2026拓扑学习题课2.pdf
2026-05-01	Class is canceled due to the Labor Day holiday
2026-05-05	Class is canceled due to the Labor Day holiday
2026-05-08	同伦与同伦等价	2026拓扑学15 2026.5.8.pdf

作业（随课程更新）