🌟 Smooth Manifolds Seminar — Topological Manifolds Revision
Date:
The undergraduates at Hua Loo-Keng Talent Program in Mathematics organized a seminar on smooth manifolds after learning topology and basic differential geometry during 2025 winter vacation. I gave 2 lectures in this seminar and the following is the first lecture on topological manifolds.
I first gave a revision of basic concepts, such as countability and separability in point-set topology before introducing definition and properties of topological manifolds. I also discussed concepts like local homeomorphism, topological group and the homogenous property of connected topological manifolds.
📼 Click to view the RECORD of the lecture on Tencent Meeting Website (External).
⏬ Click to download the hand-written SEMINAR NOTES of the research paper in PDF.
