Gruenhage spaces and their influence on Banach space renorming theory
Functional Analysis
2024-12-06 v1 General Topology
Abstract
In a paper from 1987, Gruenhage defined a class of topological spaces that now bear his name, and used it to solve a problem of Talagrand on the existence of dense metrizable subsets of Gul'ko compact spaces. Gruenhage's paper became highly influential among researchers in renorming theory, a branch of Banach space theory. In this paper we survey Gruenhage and related spaces, and their interactions with renorming theory.
Keywords
Cite
@article{arxiv.2412.04401,
title = {Gruenhage spaces and their influence on Banach space renorming theory},
author = {Richard J. Smith},
journal= {arXiv preprint arXiv:2412.04401},
year = {2024}
}