A family is constructed of cardinality equal to the continuum, whose members are totally incomparable hereditarily indecomposable Banach spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-6,
author = {I. Gasparis},
title = {A continuum of totally incomparable hereditarily indecomposable Banach spaces},
journal = {Studia Mathematica},
volume = {151},
year = {2002},
pages = {277-298},
zbl = {1004.46005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-6}
}
I. Gasparis. A continuum of totally incomparable hereditarily indecomposable Banach spaces. Studia Mathematica, Tome 151 (2002) pp. 277-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-6/