The Gluing Theorem is a fundamental result in sheaf theory that allows for the construction of global sections from local data. This theorem essentially states that if you have a sheaf defined on an open cover of a space, and if the local sections can be glued together consistently, then there exists a global section. This concept is crucial as it provides a way to connect local properties to global ones in the context of topological spaces and algebraic varieties.
congrats on reading the definition of Gluing Theorem. now let's actually learn it.