研究生: |
陳俊嘉 Chen, Jiun-Jia |
---|---|
論文名稱: |
胞腔鏈複形中邊界函數的幾何描述的三維動畫 The three-dimensional animation of the geometric description of the boundary map of the cellular chain complex |
指導教授: |
顏東勇
Yan, Dung-Yung |
口試委員: |
王信華
Wang, Shin-Hwa 李華倫 Li, Hua-Lun |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 數學系 Department of Mathematics |
論文出版年: | 2018 |
畢業學年度: | 106 |
語文別: | 英文 |
論文頁數: | 28 |
中文關鍵詞: | 邊界函數 、胞腔鏈複形 |
外文關鍵詞: | boundary map, cellular chain complex |
相關次數: | 點閱:2 下載:0 |
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透過三維動畫,對胞腔鏈複形中的邊界函數給出一個具體的幾何描述。
The purpose of this thesis is to apply the three-dimentional animation to give the precisely description of the boundary map of the cellular chain complex.
[1] C. R. F. Maunder. Algebraic topology. Dover Publications, Inc., Mineola, NY, 1996.
[2] Dung Yung Yan. Section note of algebraic topology, 2016.
[3] Allen Hatcher. Algebraic Topology, 2002.
[4] Jyun-Da Peng. A new geometric description of the boundary map of the cellular homology, 2015.
[5] James R. Munkres. Elements of Algebraic Topology, 1930.