Adequate Compacta which are Gul’ko or Talagrand
| Data(s) |
17/06/2012
17/06/2012
2003
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|---|---|
| Resumo |
2000 Mathematics Subject Classification: 54H05, 03E15, 46B26 We answer positively a question raised by S. Argyros: Given any coanalytic, nonalytic subset Σ′ of the irrationals, we construct, in Mercourakis space c1(Σ′), an adequate compact which is Gul’ko and not Talagrand. Further, given any Borel, non Fσ subset Σ′ of the irrationals, we construct, in c1(Σ′), an adequate compact which is Talagrand and not Eberlein. Supported by grants AV CR 101-90-03, and GA CR 201-01-1198 |
| Identificador |
Serdica Mathematical Journal, Vol. 29, No 1, (2003), 55p-64p 1310-6600 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Talagrand Compact #Gul’ko Compact #K−Analytic Space #K−Countably Determined Space #Analytic Set #Coanalytic Set #Adequate Family #ill-Founded Tree #Well-Founded Tree #Mercourakis Space |
| Tipo |
Article |
