A Boolean algebra and a Banach space obtained by push-out iteration
Logic
2014-06-30 v1 Category Theory
Functional Analysis
Abstract
Under the assumption that the continuum 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(N)/fin has under CH and in the aleph2-Cohen model. We prove a similar result in the category of Banach spaces.
Cite
@article{arxiv.1012.5051,
title = {A Boolean algebra and a Banach space obtained by push-out iteration},
author = {Antonio Avilés and Christina Brech},
journal= {arXiv preprint arXiv:1012.5051},
year = {2014}
}