Sheaf theory

subfield of mathematics

In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.


  • The purpose of sheaf theory is quite general: it is to obtain global information from local information, or else to define “obstructions” which characterize the fact that a local property does not hold globally any more: for example a manifold is not always orientable, or a differential equation can be locally solvable, but not globally.

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