homology group
11Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …
12Homology (sociology) — Homologies are structural resonances ...between the different elements making up a socio cultural whole. (Middleton 1990, p.9)Examples include Alan Lomax s cantometrics, which::Distinguishes ten musical styles, dealing most fully with Eurasian… …
13homology — noun (plural gies) Date: circa 1656 1. a similarity often attributable to common origin 2. a. likeness in structure between parts of different organisms (as the wing of a bat and the human arm) due to evolutionary differentiation from a… …
14Homology (chemistry) — A homolog in chemistry refers to a chemical compound from a series of compounds that differ only in the number of repeated structural units [http://www.chem.qmul.ac.uk/iupac/medchem/ah.html#h5 IUPAC definitions] ] . A homolog is a special case of …
15homology — The state of being homologous. h. of chains the degree of similarity between the base sequences of strands of two DNAs. SYN: h. of strands. DNA h. the degree (or percentage) of hybridization capable between the DNA of different microorganisms. h …
16homology — /həˈmɒlədʒi/ (say huh moluhjee) noun (plural homologies) 1. the state of being homologous; homologous relation or correspondence. 2. Biology a. a fundamental similarity due to community of descent. b. a structural similarity of two segments of… …
17Singular homology — In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of topological invariants of a topological space X , the so called homology groups H n(X). Singular homology is a particular example of a… …
18Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …
19Simplicial homology — In mathematics, in the area of algebraic topology, simplicial homology is a theory with a finitary definition, and is probably the most tangible variant of homology theory. Simplicial homology concerns topological spaces whose building blocks are …
20Fundamental group — In mathematics, the fundamental group is one of the basic concepts of algebraic topology. Associated with every point of a topological space there is a fundamental group that conveys information about the 1 dimensional structure of the portion of …