locally ringed space

noun

An abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points (i.e. a ringed space) where the analogy with the motivating case is particularly strong. Formally, a topological space equipped with a sheaf of rings (called the structure sheaf) such that the stalk at each point is a local ring.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounlocally ringed space (plural locally ringed spaces)

plural locally ringed spaces

  1. sheaf theory; scheme theory; sheaf theory; scheme theoryAn abstract mathematical object generalizing the relationship between spaces of functions and the germs of those functions at particular points (i.e. a ringed space) where the analogy with the motivating case is particularly strong. Formally, a topological space equipped with a sheaf of rings (called the structure sheaf) such that the stalk at each point is a local ring.
Cite this entry
APA

locally ringed space. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/locally%20ringed%20space

MLA

“locally ringed space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/locally%20ringed%20space. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “locally ringed space,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/locally%20ringed%20space.

Source: locally ringed space on Wiktionary, CC BY-SA 4.0.