Definition:Hilbert Cube/Definition 2

Definition
The Hilbert cube, denoted by $I^\omega$, is defined as:


 * $\ds I^\omega := \set {\sequence {x_n}_{n \mathop \in \N_{> 0} } \in \R^\N: 0 \le x_n \le \frac 1 n}$

Also see

 * Equivalence of Definitions of Hilbert Cube