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In the context of sheaf theory and category theory, the concept of "image functor" relates to the way we can understand sheaves on a topological space from their restrictions to open sets through the lens of functoriality. ### Sheaves A **sheaf** is a tool for systematically tracking locally defined data attached to the open sets of a topological space and ensuring that this data can be "glued together" in a coherent way.

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  1. Sheaf theory
  2. Category theory
  3. Fields of abstract algebra
  4. Fields of mathematics
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