Paracompactness is a topological property of a space where every open cover has an open locally finite refinement. This means that given any collection of open sets that cover the space, it is possible to find a new collection of open sets that also covers the space, and each point in the original cover intersects only finitely many sets in the refinement. This property is essential in understanding various concepts in topology, particularly in the context of sheaf theory and sheaf spaces.
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