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Cohomology vs Cocycle - What's the difference?

cohomology | cocycle |

As nouns the difference between cohomology and cocycle

is that cohomology is (mathematics) a theory associating a system of quotient groups to each topological space while cocycle is (cohomology) a cochain that is in the kernel of a coboundary map.

cohomology

English

(wikipedia cohomology)

Noun

(cohomologies)
  • (mathematics) A theory associating a system of quotient groups to each topological space.
  • (mathematics) A system of quotient groups associated to a topological space.
    • English words suffixed with -ology

    cocycle

    English

    Noun

    (en noun)
  • (cohomology) A cochain that is in the kernel of a coboundary map.