Radon-Nikodým compact spaces of low weight and Banach spaces

Antonio Avilés. "Radon-Nikodým compact spaces of low weight and Banach spaces." Studia Mathematica 166.1 (2005): 71-82. <http://eudml.org/doc/284509>.

@article{AntonioAvilés2005,
abstract = {We prove that a continuous image of a Radon-Nikodým compact of weight less than b is Radon-Nikodým compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density character less than b are Asplund generated. In this case, in addition, there exists a subspace of an Asplund generated space which is not Asplund generated and which has density character exactly b.},
author = {Antonio Avilés},
journal = {Studia Mathematica},
keywords = {Radon-Nikodym compact spaces; Martin's axiom},
language = {eng},
number = {1},
pages = {71-82},
title = {Radon-Nikodým compact spaces of low weight and Banach spaces},
url = {http://eudml.org/doc/284509},
volume = {166},
year = {2005},
}

TY - JOUR
AU - Antonio Avilés
TI - Radon-Nikodým compact spaces of low weight and Banach spaces
JO - Studia Mathematica
PY - 2005
VL - 166
IS - 1
SP - 71
EP - 82
AB - We prove that a continuous image of a Radon-Nikodým compact of weight less than b is Radon-Nikodým compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density character less than b are Asplund generated. In this case, in addition, there exists a subspace of an Asplund generated space which is not Asplund generated and which has density character exactly b.
LA - eng
KW - Radon-Nikodym compact spaces; Martin's axiom
UR - http://eudml.org/doc/284509
ER -