Cohomology

/koʊ.hoʊˈmɑl.ə.dʒi/ noun

Definition

A mathematical concept in algebraic topology that studies the properties of shapes and spaces using abstract algebraic structures.

Etymology

From 'co-' (together) plus 'homology' (study of similarity). Coined by mathematicians in the mid-20th century to extend homology theory in new directions.

Kelly Says

Cohomology is abstract enough that even most mathematicians struggle to visualize it—yet it's powerful enough to solve concrete problems about shapes, making it one of math's most elegant tools.

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