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Thomas J
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What is the difference between homology and cohomology?

In intuitive terms, what is the main difference? We know that homology is essentially the number of $n$-cycles that are not $n$-boundaries in some simplicial complex $X$. This is, more or less, the number of holes in the complex. But what is the geometrical interpretation of cohomology?

Thomas J
  • 429
  • 1
  • 5
  • 3