Linear homeomorphisms of function spaces and the position of a space in its compactification
General Topology
2023-11-27 v2
Abstract
An old question of A.V. Arhangel'skii asks if the Menger property of a Tychonoff space is preserved by homeomorphisms of its function space . We provide affirmative answer in the case of linear homeomorphisms. To this end, we develop a method of studying invariants of linear homeomorphisms of fuction spaces by looking at the way is positioned in its (\v{C}ech-Stone) compactification.
Keywords
Cite
@article{arxiv.2208.05547,
title = {Linear homeomorphisms of function spaces and the position of a space in its compactification},
author = {Mikołaj Krupski},
journal= {arXiv preprint arXiv:2208.05547},
year = {2023}
}