Definition of Homology. Meaning of Homology. Synonyms of Homology

Here you will find one or more explanations in English for the word Homology. Also in the bottom left of the page several parts of wikipedia pages related to the word Homology and, of course, Homology synonyms and on the right images related to the word Homology.

Definition of Homology

Homology
Homology Ho*mol"o*gy, n. [Gr. ? agreement. See Homologous.] 1. The quality of being homologous; correspondence; relation; as, the homologyof similar polygons. 2. (Biol.) Correspondence or relation in type of structure in contradistinction to similarity of function; as, the relation in structure between the leg and arm of a man; or that between the arm of a man, the fore leg of a horse, the wing of a bird, and the fin of a fish, all these organs being modifications of one type of structure. Note: Homology indicates genetic relationship, and according to Haeckel special homology should be defined in terms of identity of embryonic origin. See Homotypy, and Homogeny. 3. (Chem.) The correspondence or resemblance of substances belonging to the same type or series; a similarity of composition varying by a small, regular difference, and usually attended by a regular variation in physical properties; as, there is an homology between methane, CH4, ethane, C2H6, propane, C3H8, etc., all members of the paraffin series. In an extended sense, the term is applied to the relation between chemical elements of the same group; as, chlorine, bromine, and iodine are said to be in homology with each other. Cf. Heterology. General homology (Biol.), the higher relation which a series of parts, or a single part, bears to the fundamental or general type on which the group is constituted. --Owen. Serial homology (Biol.), representative or repetitive relation in the segments of the same organism, -- as in the lobster, where the parts follow each other in a straight line or series. --Owen. See Homotypy. Special homology (Biol.), the correspondence of a part or organ with those of a different animal, as determined by relative position and connection. --Owen.

Meaning of Homology from wikipedia

- Look up homology, homological, homologous, or homologue in Wiktionary, the free dictionary. Homology may refer to: Homology (biology), any characteristic...
- In biology, homology is similarity in anatomical structures or genes between organisms of different taxa due to shared ancestry, regardless of current...
- In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one ****ociated...
- Borel–Moore homology Cellular homology Cyclic homology Hochschild homology Floer homology Intersection homology K-homology Khovanov homology Morse homology Persistent...
- Sequence homology is the biological homology between DNA, RNA, or protein sequences, defined in terms of shared ancestry in the evolutionary history of...
- some homology theory, usually singular homology. Homology manifolds are the same as homology Z-manifolds. More generally, one can define homology manifolds...
- cyclic homology and cyclic cohomology are certain (co)homology theories for ****ociative algebras which generalize the de Rham (co)homology of manifolds...
- Hochschild homology (and cohomology) is a homology theory for ****ociative algebras over rings. There is also a theory for Hochschild homology of certain...
- singular homology refers to the study of a certain set of algebraic invariants of a topological space X {\displaystyle X} , the so-called homology groups...
- In mathematics, Floer homology is a tool for studying symplectic geometry and low-dimensional topology. Floer homology is a novel invariant that arises...