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Title: Adequate Compacta which are Gul’ko or Talagrand
Authors: Čížek, Petr
Fabian, Marián
Keywords: 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
Issue Date: 2003
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 29, No 1, (2003), 55p-64p
Abstract: 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.
Description: 2000 Mathematics Subject Classification: 54H05, 03E15, 46B26
ISSN: 1310-6600
Appears in Collections:Volume 29 Number 1

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