# Sheaf theory

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

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## Quotes[edit]

- 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.
- Masaki Kashiwara; Pierre Schapira (1 May 2002).
*Sheaves on Manifolds: With a Short History*. Springer Science & Business Media. p. 1. ISBN 978-3-540-51861-7.

- Masaki Kashiwara; Pierre Schapira (1 May 2002).