On a class of homeomorphisms of function spaces preserving the Lindelöf number of domains
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...
| Published in: | Вестник Томского государственного университета. Математика и механика № 86. С. 159-166 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001132570 |
| Summary: | 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 |
|---|---|
| Bibliography: | Библиогр.: 7 назв. |
| ISSN: | 1998-8621 |