spaces which cannot be uniformly embedded into c_0({\mit\Gamma} )
Tom 192 / 2006
Fundamenta Mathematicae 192 (2006), 245-254
MSC: Primary 46B26; Secondary 54E15, 54D20.
DOI: 10.4064/fm192-3-4
Streszczenie
We give two examples of scattered compact spaces K such that C(K) is not uniformly homeomorphic to any subset of c_0({\mit\Gamma} ) for any set {\mit\Gamma} . The first one is [0,\omega _1] and hence it has the smallest possible cardinality, the other one has the smallest possible height \omega _0+1.
