Topological Properties of the Hilbert Cube and the Infinite Product of Open Intervals

Type: Article

Publication Date: 1967-02-01

Citations: 48

DOI: https://doi.org/10.2307/1994447

Abstract

For each i>0, let 7, denote the closed interval O^x^ 1 and let °I¡ denote the open interval 0<*< 1.Let 7°° =fli>o 7 and °7°° = rii>o °h-7°° is the Hilbert cube or parallelotope sometimes denoted by Q.

Locations

  • Transactions of the American Mathematical Society - View - PDF