Quotients of Banach spaces and surjectively universal spaces

Pandelis Dodos. "Quotients of Banach spaces and surjectively universal spaces." Studia Mathematica 197.2 (2010): 171-194. <http://eudml.org/doc/286167>.

@article{PandelisDodos2010,
abstract = {We characterize those classes 𝓒 of separable Banach spaces for which there exists a separable Banach space Y not containing ℓ₁ and such that every space in the class 𝓒 is a quotient of Y.},
author = {Pandelis Dodos},
journal = {Studia Mathematica},
keywords = {surjectively universal; Bourgain’s index; minimal Banach space},
language = {eng},
number = {2},
pages = {171-194},
title = {Quotients of Banach spaces and surjectively universal spaces},
url = {http://eudml.org/doc/286167},
volume = {197},
year = {2010},
}

TY - JOUR
AU - Pandelis Dodos
TI - Quotients of Banach spaces and surjectively universal spaces
JO - Studia Mathematica
PY - 2010
VL - 197
IS - 2
SP - 171
EP - 194
AB - We characterize those classes 𝓒 of separable Banach spaces for which there exists a separable Banach space Y not containing ℓ₁ and such that every space in the class 𝓒 is a quotient of Y.
LA - eng
KW - surjectively universal; Bourgain’s index; minimal Banach space
UR - http://eudml.org/doc/286167
ER -