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ringed space. In DICTIOUS you will not only get to know all the dictionary meanings for the word
ringed space, but we will also tell you about its etymology, its characteristics and you will know how to say
ringed space in singular and plural. Everything you need to know about the word
ringed space you have here. The definition of the word
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English
Noun
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
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.