C(K) spaces which cannot be uniformly embedded into c₀(Γ)
Jan Pelant ; Petr Holický ; Ondřej F. K. Kalenda
Fundamenta Mathematicae, Tome 189 (2006), p. 245-254 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:282775 
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     title = {C(K) spaces which cannot be uniformly embedded into c0(G)},
     journal = {Fundamenta Mathematicae},
     volume = {189},
     year = {2006},
     pages = {245-254},
     zbl = {1118.46028},
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Jan Pelant; Petr Holický; Ondřej F. K. Kalenda. C(K) spaces which cannot be uniformly embedded into c₀(Γ). Fundamenta Mathematicae, Tome 189 (2006) pp. 245-254. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-3-4/