Meaning

noun the quality of being similar or corresponding in position or value or structure or function

originFrom Latin homologia, from Ancient Greek ὁμολογία (homología, “agreement, assent”); compare French homologie. By surface analysis, homo- + -logy. In topology, first used by French polymath Henri Poincaré, in the sense (close to what is now called a bordism) of a relation between manifolds mapped into a reference manifold: that is, the property of such manifolds that they form the boundary of a…

Etymology from Wiktionary, CC BY-SA 3.0