Hilbert cube

noun

A metrizable topological space which is the product of a countably infinite number of closed intervals.

Meanings

nounHilbert cube (plural Hilbert cubes)

plural Hilbert cubes

  1. mathematicsA metrizable topological space which is the product of a countably infinite number of closed intervals.

Origin

Named after German mathematician David Hilbert (1862–1943)

Full word history & related roots →

Translations

Polish kostka Hilberta
  • kostka Hilbertatopological space
Cite this entry
APA

Hilbert cube. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Hilbert%20cube

MLA

“Hilbert cube.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hilbert%20cube. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hilbert cube,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Hilbert%20cube.

Source: Hilbert cube on Wiktionary, CC BY-SA 4.0.