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homology
homology (həʊˈmɒlədʒɪ) [ad. late L. homologia, a. Gr. ὁµολογία agreement, assent, f. ὁµόλογος homologous. Cf. F. homologie.] Homologous quality or condition; sameness of relation; correspondence. 1. In general sense. (Before 19th c. only in Dicts.)1656 Blount Glossogr., Homology, an agreement. 1721 ... Oxford English Dictionary
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Homology (sociology)
However, he "would like to hang on to the notion of homology in a qualified sense. wikipedia.org
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Necessary condition on homology group for a set to be contractible The ...
The exact meaning of 'Mom made me a sandwich' Why the difference in type-inference over the as-pattern in two similar function definitions...
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Serial homology
Serial homology is a special type of homology, defined by Owen as "representative or repetitive relation in the segments of the same organism." See also Deep homology Evolutionary developmental biology References Evolutionary biology Comparative anatomy wikipedia.org
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Pushforward (homology)
Homology is a functor which converts a topological space into a sequence of homology groups . Definition for singular and simplicial homology We build the pushforward homomorphism as follows (for singular or simplicial homology): First we have wikipedia.org
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Relative homology
Local homology of the cone CX at the origin One easy example of local homology is calculating the local homology of the cone (topology) of a space at Using the intuition that the local homology group of at captures the homology of "near" the origin, we should expect this is the homology of since wikipedia.org
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Singular homology
The singular homology is then the homology of the chain complex. In some sense, singular homology is the "largest" homology theory, in that every homology theory on a subcategory of Top agrees with singular homology wikipedia.org
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Relative homology - Wikipedia
Relative homology. In algebraic topology, a branch of mathematics, the (singular) homology of a topological space relative to a subspace is a construction in singular homology, for pairs of spaces. The relative homology is useful and important in several ways. Intuitively, it helps determine what part of an absolute homology group comes from ...
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Homology | Morphology, Comparative Anatomy & Genetics
homology, in biology, similarity of the structure, physiology, or development of different species of organisms based upon their descent from a common evolutionary ancestor. Homology is contrasted with analogy, which is a functional similarity of structure based not upon common evolutionary origins but upon mere similarity of use.
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同源性(homology)相关概念 | 生信技工
同源性(homology)定义. homology在生物学上被翻译成"同源性"，是指在不同生物类群中，由于共同的祖先，在一对结构或基因间表现出来的相似性。. 在基因序列(DNA,RNA or Protein)上体现出的相似性被称作序列同源性(sequence homology)，具有序列同源性的基因被称做同源 ...
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Introduction to Persistent Homology (持久同源) | 学术写作例句词典
使用持久同源性，我们分析了为执行复杂任务而调整的网络。 [1] 使用持久同源性，从肺部疾病的体积 ct 扫描中提取同源特征的密度，包括连接的组件、隧道和空隙。 [2] 使用持久同源性，特别是持久性图，作为机器学习技术的输入需要一些数学创造力。
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Huang Ruizhi Math - Homology Theory - Google Sites
This is the course 'Algebraic Topology I' for junior graduate students at AMSS and UCAS, and also for interested senior undergraduates. Basic topology and abstract algebra at undergraduate level are required. Exercies are provided during lectures, and students do not need to submit the solutions.
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Factorization homology
In algebraic topology and category theory, factorization homology is a variant of topological chiral homology, motivated by an application to topological wikipedia.org
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Floer homology
Floer homology is the homology of this chain complex. Seiberg–Witten Floer homology Seiberg–Witten Floer homology or monopole Floer homology is a homology theory of smooth 3-manifolds (equipped with a spinc wikipedia.org
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纽结理论的前景如何？近年来有什么重要的发展？
相关文献： 就像我之前多次强调的那样，我们也可以从组合数学，以及sheaf theoretical的角度来理解knot contact homology： 另一个我认为很有趣的方向是Legendrian torus knot和cluster variety之间的联系。 他们用gauge theory证明了Khovanov homology detects unknot: zhihu
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