connected space

noun

Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounconnected space (plural connected spaces)

plural connected spaces

  1. mathematicsAny topological space which cannot be written as the disjoint union of two or more nonempty open spaces.

Translations

Japanese 連結空間
  • 連結空間any topological space which cannot be written as the disjoint union of two or more nonempty open spaces
Swedish sammanhängande rum
  • sammanhängande rumany topological space which cannot be written as the disjoint union of two or more nonempty open spaces
Cite this entry
APA

connected space. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/connected%20space

MLA

“connected space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/connected%20space. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “connected space,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/connected%20space.

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