Tychonoff space

noun

Any completely regular topological space that is also a Hausdorff space.

Meanings

nounTychonoff space (plural Tychonoff spaces)

plural Tychonoff spaces

  1. mathematicsAny completely regular topological space that is also a Hausdorff space.

Origin

Named after Andrey Nikolayevich Tychonoff.

Full word history & related roots →
Cite this entry
APA

Tychonoff space. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Tychonoff%20space

MLA

“Tychonoff space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Tychonoff%20space. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Tychonoff space,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Tychonoff%20space.

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