Holiday
GEN III綜三 631 W7W8W9
In this course, we will introduce basic idea of topology of a set, different level of topological structures, homotopy and fundamental groups of a topological space.
Course keywords: topology of a set, homotopy, fundamental group (1) 課程說明(Course Description) In this course, we will introduce basic idea of topology of a set, different level of topological structures, homotopy and fundamental groups of a topological space. The material that might be covered in this semester are: Different Topological Spaces Connectedness and Compactness Countability and Separation Axioms Metrization and Paracompactness Fundamental group and covering spaces Classification of Surfaces or Classification of Covering Spaces or Homology Group (2) 指定用書(Text Books) J. R. Munkres, Topology, 2nd edition, ISBN 0-13-178449-8. (3) 參考書籍(References) 目前先列出兩本,學期中會再update其他的書。 I.M. Singer and J.A. Thorpe, Lecture notes on Elementary Topology and Geometry, UTM. W.S. Massey, A Basic Course in Algebraic Topology, GTM. (4) 教學方式(Teaching Method) Traditional. (5) 教學進度(Syllabus) See course website. (6) 成績考核(Evaluation) We will have two midterms and one final exam. 其他配分規則請見課程網頁。 作弊一律零分計算,並送校規處理,請勿以身試法。 (7) 採用下列何項 AI 使用規則 (Indicate which of the following options you use to manage student use of the AI): 本課程無涉及AI使用 Not applicable (8) 可連結之網頁位址 相關網頁(Personal Website) https://www.math.nthu.edu.tw/~nankuo/Topology2024S.html
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Average Percentage 64.89
Std. Deviation 23.33
X-Class ,數學組三擇一必選修。
數學系大學部3年級4年級優先,第3次選課起開放全校修習
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