ringed space
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English[edit]
Noun[edit]
ringed space (plural ringed spaces)
- (sheaf theory, scheme theory) An abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points. Formally, a topological space equipped with a sheaf of rings (called the structure sheaf).
Usage notes[edit]
Properly, a ringed space is a pair where is the space and is the structure sheaf. By abuse of notation, alone may also be referred to as a ringed space when is understood to be present in some context.