[Math] reference for (co)homology theories

cohomologydifferential-cohomologygroup-cohomologyhomologyreference-request

Hi everyone,

Every now and then, I find myself dealing with such or such (co)homology theory, and I'm frustrated I don't feel more comfortable around it.

I was wondering if someone could recommend a cool reference that would, ideally:

  1. Cover several cohomology theories, including, say: singular, de Rham, Dolbeault, group cohomology, sheaf cohomology.
  2. Explain the relations between these theories.
  3. Not too hardcore to read (not too formal, containing examples, etc.)

Thanks for helping!

Best Answer

what about this: Une introduction aux (co)homologies, Cours & exercices by T. Masson: http://science.thilucmic.fr/spip.php?article16

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