Last Updated：2025/11/29

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

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Hilbert cube

Source Word

Hilbert cube

Noun

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

Japanese Meaning

ヒルベルト・キューブ：可算無限個の閉区間の直積によって得られる計量可能な位相空間。

Topology students often study the Hilbert cube as a canonical compact metrizable space.

位相を学ぶ学生たちは、閉区間の可算無限直積からなる可計量位相空間（ヒルベルト立方体）を標準的なコンパクト可計量空間の例として学ぶことが多い。

Sense（1）

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

Hilbert cubes

（ plural ）