V2EX homological

Homological

释义 Definition

homological(形容词)同调的;与同调(homology)有关的。常用于代数拓扑、同调代数等数学语境,如 homological algebra(同调代数)、homological dimension(同调维数)等。

发音 Pronunciation (IPA)

/homldkl/

例句 Examples

Homological methods help us compare different spaces.
同调方法帮助我们比较不同的空间。

The paper develops a homological approach to compute invariants via chain complexes and long exact sequences.
这篇论文提出了一种同调方法,通过链复形与长正合列来计算不变量。

词源 Etymology

homological 来自 homology(同调)+ 形容词后缀 -icalhomology 源于希腊语词根 **homolog-**,含“相同、对应、一致”之意;在数学中引申为研究“结构之间对应关系”的工具与理论。

相关词 Related Words

文学与著作 Literary Works

  • Homological Algebra(Henri Cartan & Samuel Eilenberg)
  • An Introduction to Homological Algebra(Charles A. Weibel)
  • Methods of Homological Algebra(Sergei I. Gelfand & Yuri I. Manin)
  • Algebraic Topology(Allen Hatcher)
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