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

• Autorzy: Jan Pelant , Petr Holický , Ondřej F. K. Kalenda
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54E15: Uniform structures and generalizations
• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)
• 46B26: Nonseparable Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 192
• Numer: 3
• Strony: 245-254

Daty

wydano

2006

Twórcy

autor

Jan Pelant

• Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic

autor

Petr Holický

• Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic

autor

Ondřej F. K. Kalenda

• Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic

Identyfikatory

DOI

10.4064/fm192-3-4