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
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“Don’t confuse hypothesis and theory. The former is a possible explanation; the latter, the correct one. The establishment of theory is the very purpose of science.”
—Martin H. Fischer (1879–1962)