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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
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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.

    Contents 1. Introduction 1 2. Introduction to the cellular homology 1 3. The geometric description of the boundary map of the cellular homology 4 4. The three-dimensional animation of geometric description of the boundary map of the cellular chain complex 16 5. Reference 28

    [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.

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