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I am going to start study of Category and Functors and sheaf theory. What are good text/ lecture notes to start with?

I have not done any prior course on category theory and homological algebra or Algebraic topology. But I had done courses in Group, rings, modules, galois theory, little bit of algebraic geometry, and point set topology.

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  • $\begingroup$ @Stefan. Thanks for adding self-learning tag. I was not aware of it. $\endgroup$ – Questions-Math Aug 1 '13 at 15:40
  • $\begingroup$ @Thomas Andrews added that tag. I added the others. $\endgroup$ – Stefan Hamcke Aug 1 '13 at 15:41
  • $\begingroup$ Generally a good idea, when asking for references, to give some idea of your current level and knowledge. $\endgroup$ – Thomas Andrews Aug 1 '13 at 15:49
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Depending on your current level, you may find Part I of Ravi Vakil's notes on algebraic geometry useful. I find them extremely readable, and you may also be interested in how these theories are applied in the rest of the notes.

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I recommend Saunders Mac Lane's book "Categories for the Working Mathematician".

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