C(K) spaces which cannot be uniformly embedded into c₀(Γ)

Jan Pelant, Petr Holický, and Ondřej F. K. Kalenda. "C(K) spaces which cannot be uniformly embedded into c₀(Γ)." Fundamenta Mathematicae 192.3 (2006): 245-254. <http://eudml.org/doc/282775>.

@article{JanPelant2006,
abstract = {We give two examples of scattered compact spaces K such that C(K) is not uniformly homeomorphic to any subset of c₀(Γ) for any set Γ. The first one is [0,ω₁] and hence it has the smallest possible cardinality, the other one has the smallest possible height ω₀ + 1.},
author = {Jan Pelant, Petr Holický, Ondřej F. K. Kalenda},
journal = {Fundamenta Mathematicae},
keywords = {Banach spaces of continuous functions; uniform embedding; uniform Stone property; scattered compact space},
language = {eng},
number = {3},
pages = {245-254},
title = {C(K) spaces which cannot be uniformly embedded into c₀(Γ)},
url = {http://eudml.org/doc/282775},
volume = {192},
year = {2006},
}

TY - JOUR
AU - Jan Pelant
AU - Petr Holický
AU - Ondřej F. K. Kalenda
TI - C(K) spaces which cannot be uniformly embedded into c₀(Γ)
JO - Fundamenta Mathematicae
PY - 2006
VL - 192
IS - 3
SP - 245
EP - 254
AB - We give two examples of scattered compact spaces K such that C(K) is not uniformly homeomorphic to any subset of c₀(Γ) for any set Γ. The first one is [0,ω₁] and hence it has the smallest possible cardinality, the other one has the smallest possible height ω₀ + 1.
LA - eng
KW - Banach spaces of continuous functions; uniform embedding; uniform Stone property; scattered compact space
UR - http://eudml.org/doc/282775
ER -