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cohomology




A subject that involves calculating algebraic invariants of topological spaces that are formally dual to homology. The invariants obtained are in general more powerful than those given by homology and usually have more algebraic structure. Generalized cohomology theories, both for topological spaces and for purely algebraic structures, have been developed that have some of the formal properties of cohomology but which don't have the same geometric background.


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   • TOPOLOGY