In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces.
Read more about Homology Theory: General Idea, Cohomology, Applications, Intersection Theory and Poincaré Duality, Connection With Integration, Axiomatics and Generalised Homology, Homological Algebra and Homology of Other Objects
Famous quotes containing the word theory:
“We have our little theory on all human and divine things. Poetry, the workings of genius itself, which, in all times, with one or another meaning, has been called Inspiration, and held to be mysterious and inscrutable, is no longer without its scientific exposition. The building of the lofty rhyme is like any other masonry or bricklaying: we have theories of its rise, height, decline and fall—which latter, it would seem, is now near, among all people.”
—Thomas Carlyle (1795–1881)