The study of
homology groups is an important part of algebraic topology.
同调群的研究是代数拓扑学的重要组成部分。
They used cellular
homology to calculate the Betti numbers of the space.
他们使用细胞同调计算了该空间的贝蒂数。
The torus has non-trivial
homology in dimensions one and two.
椭圆体在一维和二维上具有非平凡的同调。
Homology helps us understand the shape and structure of topological spaces.
同调帮助我们理解拓扑空间的形状和结构。
This new result provides strong evidence for the conjecture in
homology theory.
这一新结果为同调理论中的猜想提供了强有力的证据。
We can use simplicial
homology to analyze the connectivity of complex networks.
我们可以使用单纯形同调来分析复杂网络的连通性。
There's a deep connection between
homology and co
homology theories.
同调和上同调理论之间存在着深刻的联系。
In this project, we will compute the
homology of a Klein bottle.
在这个项目中,我们将计算klein瓶的同调。
The Mayer-Vietoris sequence is a powerful tool in calculating
homology groups.
- Mayer-Vietoris序列是计算同调群的强大工具。
Homology classes provide a way to classify different topological spaces up to homeomorphism.
同调类提供了一种根据同胚分类不同拓扑空间的方法。
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