並列摘要
The purpose of this thesis is to study the polytopes in Eucliaeam spaces. Triangulations of polytopes are discussed brie y. Faces of ploytopes, such as vertices, edges, gridges. facets and so on, are de ned by their extremal subsets. Based on linear combinations and inner products of vectors., every concept we need is de ned carefully in order to give complete proof of the theorems. The work may be regard as a function for studing the theory of sperner's lemma on triangulation of polytopes.
參考文獻
1. Angus E.Taylor, David C. Lay Introduction to functional analysis
2. Gunter M. Ziegler. Lectures on Polytopes.
and Algorithms.
4. Munkres, James R., (1930-). Elements of Algebraic Topology.
2th.
延伸閱讀
- 張文蒼（2010）。三角面多面體頂點展開之研究〔碩士論文，亞洲大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0118-1511201215465270
- 陳建燁（2015）。「已知三邊直線方程式之三角形面積公式」的另一種證法。科學教育月刊，(382)，32-34。https://doi.org/10.6216/SEM.201509_(382).0003
- 楊宗益（2011）。三角形轉正三角形的演算法之研究〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/CYCU.2011.00123
- Szabo, R. J. (2010). Instantons, Topological Strings, and Enumerative Geometry. Advances in Mathematical Physics, 2010(), 4-73. https://doi.org/10.1155/2010/107857
- Nashef, B. A., & Zoubi, K. A. (2011). Idealization of Some Topological Concepts. International Journal of Mathematics and Mathematical Sciences, 2011(), 302-309-120. https://doi.org/10.1155/2011/795106