拓樸學
General Topology
學期
111-2
學分
3
學分
當期課號
516711
永久課號
SCMA20029
開課單位
應用數學系
授課教師
李明佳
校區
光復
類別
選修
上課時間表
| 節 | 週三 | 週四 |
|---|---|---|
3 10:10–11:00 | 拓樸學 SA311 2 節連堂 | 拓樸學 SA311 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
General Topology
先修科目
Calculus, and 1st semester of Advanced Calculus.
評分方式
考試、作業&報告
週次計畫
| 週次 | 主題 |
|---|---|
| 第 18 週 | relations least upper bound property well-ordering property cartesian products finite sets countable and uncountable sets topological spaces basis for a topology the order topology the product topology on SxT the subspace topology closed sets and limit points Hausdorff spaces continuous functions properties of continuous functions the product topology the metric topology the metric topology (continued) connnected spaces connected subspace of the real line compact spaces compact subspaces of the real line limit point compactness local compactness the compatibility axioms the separation axioms the Urysohn lemma the Urysohn metrization theorem the Tychonoff theorem |
教科書
James R. Munkres, Topology, 2nd edition, Prentice Hall, 2000.
Office Hours
- 地點
- SA-337
- 時間
- 週四 10:10-11:00, 13:30-14:20 and by appointment
- 聯絡方式
- 分機56463