Definitions for "Homology"
The quality of being homologous; correspondence; relation; as, the homologyof similar polygons.
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.
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.
The study of various maps, none of which tells you which exit to take off the New Jersey Turnpike to get to Princeton.
hull, convex immersion Klein bottle level set linear map locally one-to-one map embedding immersion linear locally one-to-one one-to-one tight
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see Homologous.