homology

Plural: homologies

Noun

• Similarity in structure between parts of different species due to common ancestry.
• the quality of being similar or corresponding in position or value or structure or function
• The relationship of being homologous; a homologous relationship.
• specifically, such relationship in the context of the geometry of perspective.
• The relationship of being homologous; a homologous relationship.
• An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves.
• The relationship of being homologous; a homologous relationship.
• A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below.
• The relationship of being homologous; a homologous relationship.
• Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁.
• The relationship of being homologous; a homologous relationship.
• The relationship, between elements, of being in the same group of the periodic table.
• The relationship of being homologous; a homologous relationship.
• The relationship, between organic compounds, of being in the same homologous series.
• The relationship of being homologous; a homologous relationship.
• The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;
• The relationship of being homologous; a homologous relationship.
• The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin; (evolutionary theory) specifically, a correspondence between structures in separate life forms having a common evolutionary origin, such as that between mammalian flippers and hands.
• specifically, a correspondence between structures in separate life forms having a common evolutionary origin, such as that between mammalian flippers and hands.
• The relationship of being homologous; a homologous relationship.
• The presence of the same series of bases in different but related genes.
• The relationship of being homologous; a homologous relationship.
• The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor.

Examples

• Because of their connection with both homology and cohomology, chain complexes are an important topic of study in homological algebra.
• If the homology centre lies on the homology axis, the homology is said to be singular or parabolic; otherwise, it is called non-singular or hyperbolic.
• The homology between his old Scrabble strategies and new ones was striking, despite different opponents.

Related Words

analogy, homolog, homologation, homological, homologue, homothety, homotopy, paromologia