Sheaf cohomology is a powerful mathematical tool used to study the properties of sheaves on topological spaces, focusing on their global sections and how they can be derived. It provides a way to compute cohomological dimensions and understand how sheaves behave under different morphisms, especially in complex algebraic geometry and topology. This approach highlights the relationship between local data (sections over open sets) and global properties, making it crucial for various applications in algebraic topology, algebraic geometry, and even number theory.
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