There is no bound on sizes of indecomposable Banach Spaces. Koszmider, P., Shelah, S., & Swietek, M. Advances in Mathematics.
bibtex   
@article{KoShSw:1086,
author = {Koszmider, Piotr and Shelah, Saharon and Swietek, Michal},
trueauthor = {Koszmider, Piotr and Shelah, Saharon and
 \'Swi\c{e}tek,	Micha{\l}},
fromwhere = {P,IL,P},
journal = {Advances in Mathematics},
title = {{There is no bound on sizes of indecomposable Banach Spaces}},
volume = {submitted},
}
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