푸앵카레 정십이면체 공간(dodecahedral space)

개요

• 3차원 호몰로지 구면

호몰로지

• 단체 호몰로지 (simplicial homology)

\[ H_{k}(X,\mathbb{Z})\simeq \begin{cases} \mathbb{Z} & \mbox{if } k = 0,3 \\ 0 & \mbox{if } k = 1,2 \end{cases} \]

메모

• http://www.rudyrucker.com/blog/2008/04/20/is-the-universe-infinite/
• http://blog.daum.net/brainet/37
• http://www.staff.science.uu.nl/~henri105/Teaching/TopologieEnMeetkunde2012.pdf
• http://mathoverflow.net/questions/86166/explicit-tetrahedralizations-of-closed-3-manifolds-and-connections-between-convex

계산 리소스

• A 16-Vertex Triangulation of the Poincaré Homology 3-Sphere and Non-PL Spheres with Few Vertices
• Small triangulations of geometric 3-manifolds