Hausdorff gaps and metrizable ideals
Abstract
An ideal on a countable index-set has a natural topology of bounded convergence refining the underlying separable metrizable topology of pointwise convergence. In this note we give a necessary and sufficient criteria for metrizability of this topology in terms of Hausdorff-gap conditions and Tukey reductions.
Fields of Study & Subjects
Advanced Topology and Set Theory
Advanced Banach Space Theory
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 28 January 2026
- Language
- EN