Richard J. Smith

collaborators

3 papers

math.FA2026

Lipschitz-free spaces and the isomorphism class of PeÅczyÅski's universal basis space

Richard J. Smith

We show that the class of complete separable metric spaces whose Lipschitz-free space is isomorphic to PeÅczyÅski's universal basis space $P$ is $I^£_{1}^{1}$ -complete…

math.FA2026

Lipschitz-free spaces and Bossard's reduction argument

Richard J. Smith

We set up a descriptive set-theoretic framework to study Lipschitz-free spaces and use the reduction argument of Bossard to prove several results. We prove two universality results…

math.FA2024

Gruenhage spaces and their influence on Banach space renorming theory

Richard J. Smith

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 $G_{I^} ´$ metrizabl…

Lipschitz-free spaces and the isomorphism class of PeÅczyÅski's universal basis space

Lipschitz-free spaces and Bossard's reduction argument

Gruenhage spaces and their influence on Banach space renorming theory

Lipschitz-free spaces and the isomorphism class of PeÅczyÅski's universal basis space