|
|||||
|
|
A Boolean algebra and a Banach space obtained by push-out iteration |
|
| Authors: | Antonio Avilés Christina Brech |
| Institution: | a Universidad de Murcia, Departamento de Matemáticas, Campus de Espinardo, 30100 Murcia, Spain b Departamento de Matemática, Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, 05508-090, São Paulo, Brazil |
| Abstract: | Under the assumption that c is a regular cardinal, we prove the existence and uniqueness of a Boolean algebra B of size c defined by sharing the main structural properties that P(ω)/fin has under CH and in the ℵ2-Cohen model. We prove a similar result in the category of Banach spaces. |
| Keywords: | primary 06E05 secondary 03E35 03G05 46B26 54G05 |
| 本文献已被 ScienceDirect 等数据库收录！ | |