If X is a completely regular space, first we characterize those spaces C-b(X) whose compact sets are metrizable. Then we use this result to provide a general condition for X to ensure themetrizability of compact sets in C-b(X). Finally, we characterize those spaces C-b(X) that have a G-basis.
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Univ Nacl Chaco Austral, RA-3700 Pcia R Saenz Pena, Chaco, ArgentinaUniv Nacl Chaco Austral, RA-3700 Pcia R Saenz Pena, Chaco, Argentina
Beatriz Okulik, Nora
Jubert, Alicia H.
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Univ Nacl La Plata, Fac Ciencias Exactas 47 & 115, Dpto Quim, CEQUINOR, RA-1900 Buenos Aires, DF, Argentina
Univ Nacl La Plata, Fac Ingn 1 & 47, RA-1900 Buenos Aires, DF, ArgentinaUniv Nacl Chaco Austral, RA-3700 Pcia R Saenz Pena, Chaco, Argentina
Jubert, Alicia H.
Castro, Eduardo A.
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Univ Nacl La Plata, Fac Ciencias Exactas, Dpto Quim, INIFTA, RA-1900 Buenos Aires, DF, ArgentinaUniv Nacl Chaco Austral, RA-3700 Pcia R Saenz Pena, Chaco, Argentina