On a class of homeomorphisms of function spaces preserving the Lindelöf number of domains

Эндаумент фонд ТГУ!
Впиши своё имя в историю университета
- Сделать пожертвование -

Add to "Quick Collection"

Description	Size	Format
On a class of homeomorphisms of function spaces preserving the Lindelöf number of domains	738 KB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.17223/19988621/86/12

Title: On a class of homeomorphisms of function spaces preserving the Lindelöf number of domains
Title: Об одном классе гомеоморфизмов пространств функций, сохраняющем число Линделефа областей определения
Creator: Lazarev, Vadim R.
Date: 2023
DOI: 10.17223/19988621/86/12
Description: We consider the class of all homeomorphisms between the function spaces of the form Cp(X), Cp(Y) such that the images of Y and X under their dual and, respectively, inverse dual mappings consist of finitely supported functionals. We prove that if a homeomorphism belongs to this class, then Lindelöf numbers l(X) and l(Y) are equal. This result generalizes the known theorem of A. Bouziad for linear homeomorphisms of function spaces